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پروفسور محمد ضارب نیا - کارنامه علمی کامل
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اينجانب محمد ضارب نیا دکترای تخصصی(.Ph.D) ریاضی کاربردی و عضو هيئت علمی دانشگاه محقق اردبيلی هستم. در سال 1378 در مقطع کارشناسی از دانشگاه گیلان، در سال 1381 در مقطع کارشناسی ارشد و در سال 1386در مقطع دکتری در رشته ریاضی کاربردی، هر دو مقطع را از دانشگاه علم و صنعت ایران فارغ التحصیل شدم. پس از پايان تحصيلات در سال 1386 در دانشگاه محقق اردبيلی مشغول به کار شدم. در اين دانشگاه علاوه بر تدريس دروس گروه ریاضیات و کاربردها، به عنوان مدير گروه ریاضی کاربردی، مدیر گروه علوم کامپيوتر، معاون پژوهشی و تحصیلات تکمیلی دانشکده علوم ریاضی، مدیر نظارت، ارزیابی و تضمین کیفیت دانشگاه و دبیر هیأت نظارت، ارزیابی و تضمین کیفیت آموزش عالی استان، رئیس مرکز رشد واحد های فناوری دانشگاه و مدیر برنامه ریزی درسی، دفتر استعداد درخشان، مرکز آموزش های مجازی و دوره های آزاد و مهارتی انجام وظيفه نموده ام.

سوابق تحصیلی

مدرك دانشگاه رشته تاريخ فارغ التحصيلي
دکترا علم و صنعت ایران ریاضی کاربردی ۱۳۸۶/۰۴/۱۲
کارشناسی ارشد علم و صنعت ایران ریاضی کاربردی ۱۳۸۱/۰۸/۱۳
کارشناسی گیلان ریاضی کاربردی ۱۳۷۸/۱۱/۱۸

دوره‌های تدریس شده

  مقطع کارشناسی:

  ریاضی عمومی 1
  ریاضی عمومی 2
  معادلات دیفرانسیل
  آنالیزعددی 1
  آنالیز عددی 2
 محاسبات عددی
  معادلات انتگرالی
 آزمایشگاه ریاضی
 مبانی آنالیز عددی
 جبر خطی عددی 
 آنالیز عددی

مباحثی در ریاضیات و کاربردها

  

  مقطع کارشناسی ارشد:

  آنالیز عددی پيشرفته

  حل عددی معادلات انتگرال

  روش های عددی در جبر خطی
  
 موجک و کاربرد های آن

 

 مقطع دکتری:

  نظریه معادلات انتگرال

 توابع خاص

 مباحث پیشرفته در آنالیز عددی

مباحث پیشرفته در معادلات دیفرانسیل معمولی

طرح‌های تحقیقاتی

۱- الگوریتم رمزنگاری تصویر برای انتقال امن بر اساس محاسبات کسری و سیستم آشوبناک- دانشگاه محقق اردبیلی ۱۴۰۰
۲- ایجاد یک محیط امن برای انتقال تصاویر مبتنی بر تابع آشوب مرکب و تبدیل موجک- دانشگاه محقق اردبیلی 1399
۳- حل عددی معادلات ديفرانسيل و معادلات انتگرال-ديفرانسيل با استفاده از توابع پايه ای شعاعی- دانشگاه محقق اردبيلی-سال 1396

۴- حل معادلات ديفرانسيل با استفاده از روش B -اسپلاين- دانشگاه محقق اردبيلی- سال 1391

۵- حل عددي معادله انتگرال – ديفرانسيل فردهلم غير خطي- دانشگاه آزاد اسلامی واحد آستارا- سال 1390

۶- حل تقريبی سيستم معادلات انتگرال – ديفرانسيل فردهلم - دانشگاه محقق اردبيلی- سال 1389

۷- حل عددی معادلات انتگرال غير خطی از نوع همراشتاين مبنی بر تبديل نمايي- دانشگاه محقق اردبيلی- سال 1389

۸- حل عددی سينک برای معادله انتگرال – ديفرانسيل ولترا- دانشگاه محقق اردبيلی- سال 1388

۹- حل عددی سيستم معادلات انتگرال ولترا با آناليز خطا- دانشگاه محقق اردبيلی- سال 1387

۱۰- حل عدد ي معادلات د يفرانسيل معمول ي مرتبه پنجم خطي و غير خطي با شرا يط مرز ي دو نقطه ای با استفاده از روش هم محلی- دانشگاه آزاد اسلامی واحد ورامين- سال 1386

۱۱- روش سينک گالرکين ( Sinc - Galerkin ) برای حل عددی مسائل مقدار مرزی- دانشگاه آزاد اسلامی واحد ورامين- سال 1385

 

دانشجویان تحت راهنمایی

 Supervised Thesis (M.Sc.):  

1- Amir Sadeghi Marasht, Numerical solution of integral equations by means of the Sinc collocation method based on the double exponential transformation, Supervisor: Dr. Mohammad Zarebnia, Advisor: Dr. Khojasteh Salkuyeh, defence date: 17 October 2008.

2- Babak soltanalizadeh, Supervisor: Abdollah Borhanifar, Advisor: Dr. Mohammad Zarebnia, defence date: 2008.  

3- Mehdi Faal Amiri, Chebyshev polynomial solutions of systems of higher-order linear Fredholm-Volterra integro-differential equations, Supervisor: Abdollah Borhanifar, Second supervisor: Dr. Mohammad Zarebnia, defence date: October 2008. 

4- Sholeh Yaghobi Kaloorazi, Generalization of an iterative method for solving SPD linear system of equations, Supervisor: Dr. Khojasteh Salkuyeh, Second supervisor: Dr. Mohammad Zarebnia, defence data: 9 November 2008.  

5- Zeinab Nikpuor, A Sinc-Collocation method for the linear Fredholm integro-differential equations, defence data: September 2009.  

6- Mehdi Ghorban Ali Abadi, A numerical comparison of a Kawahara equation, defence data: September 2009.  

7- Leila Velaei, Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method, Supervisor: Abdollah Borhanifar, Advisor: Dr. Mohammad Zarebnia, defence date: October 2010.  

8- Somayeh Jalili Maraghi, A Chebyshev spectral collocation method for solving Burgers'-type equations, defence date: October 2010.  

9- Zahra Sarvari, Solution of system of boundary value problems by using parametric spline, defence date: 31 May 2011.  

10- Maryam Hoshyar, Solution of system of boundary value problems by using non-polynomial spline, defence date: May 2011.  

11- Nastaran Aliniya, Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind, defence date: August 2011.  

12- Maryam Takhti Najafabad, Numerical solution of the RLW equation by using radial basis functions, defence date: August 2011.  

13- Mahboubeh Birjandi, B-spline collocation method for the numerical solution of nonlinear Klein-Gordon equation, defence date: August 2011.  

14- Masoumeh Sedaghati, Tention spline approach for the numerical solution of nonlinear Klein-Gordon equation, defence date: August 2011.  

15- Mehri Sajjadian(University of Tabriz), Numerical solution of GRLW equation using sinc-collocation method, Supervisor: Dr. Hossein Kheiri(University of Tabriz), Second supervisor: Dr. Mohammad Zarebnia(University of Mohaghegh Ardabili), Advisor: Mehrdad Lakestani(University of Tabriz), defence date: September 2011.  

16- Amin Anvarzadeh, Numerical integration using wavelets, defence date: September 2012.  

17- Mina Salimi kandeh, Direct and iterative methods for the numerical solution of Volterra-Fredholm integral equations, defence date: September 2012.   

18- Reza Parvaz, B-spline collocation method for numerical solution of the Kuramoto–Sivashinsky equation, defence date: Dec. 2012.

19- Mina Aghili soltan abadi, A mesh-free numerical method for solution of the Kuramoto–Sivashinsky equations, defence date: Jul. 2012. 

20- Mojtaba Manousian miyandoab, A collocation method for solving Fredholm–Volterra integro-differential equations by using Bessel polynomials, defence date: Oct. 2012.   

21- Sakineh Khani koshki, Numerical solution of integral equations by using quasi-interpolation, defence date: September 2012. 

22- Jalal Ghorbani gholestan, Radial basis functions collocation method for the numerical solution of the Volterra-Fredholm-Hammerstein integral equations, defence date: July 2013.

23- Masoud Rajabi Ebda, Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices, defence date: July 2013.

24- Elham Mehrnoosh, Discrete biquintic spline method for the solution of Fredholm integral equations, defence date: July 2013.

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25- Samira Latifi, Some Berwald spaces of non-positive flag curvature, Supervisor: Dr. Darush Latifi, Advisor: Dr. Mohammad Zarebnia, defence date: December 2013.   

26- Maryam Derakhshan, Spline quasi-interpolant method for solution of the Fredholm integral equation, defence date: March 2014.

27- Parisa Safari, Numerical method using cubic B-spline for the heat and wave equation,  Supervisor: Dr. Mohammad Bagher Farshbaf Moghimi, Advisor: Dr. Mohammad Zarebnia, defence date: Feb. 2014.      

28- Soraya Nosrati, Tension B-spline collocation method for solution of perturbed boundary value problems, defence date:Sept. 2014. 

29- Nasim Zalpour, Optimal spectral-Galerkin method for solution of differential equations, defence date: Sept. 2014.

30- Zahra Azad, Taylor expansion method for solving integral equation systems and differential equations, Jan. 2015.

31- Behbood Golmohammai, The linear rational pseudospectral method for solution of boundary value problems, defence date: Oct. 2014.

32- Sara Sheykhvazayefi, Taylor collocation method for solving delay integral equations, defence date: Sept. 2014.  

33- Rahim Bahonar Takleh, On the closed graph theorem for nonlinear mapping, Supervisor: Dr. Mohammad Raza Motallebi, Advisor: Dr. Mohammad Zarebnia, defence date: Sept. 2014.

34- Zeynab Khodabandeh, A study of Novikov structure on solvable Lie algebra, Supervisor: Dr. Dariush Latifi, Advisor: Dr. Mohammad Zarebnia, defence date: Sept. 2014.  

35- Mahdiyeh Hamdollahzadeh, Approximate solution of Abel integral equation, Supervisor: Dr. Mohammad Bagher Farshbaf Moghimi, Advisor: Dr. Mohammad Zarebnia, defence date: Sept. 2014. 

36- A. Pour vosoughi, Posteriori error estimate for second order differential equations based on defect principle, defence date: Apr. 2015.  

37- M. Shaffafi, An extension of quasi metric space and an application to computer science, Supervisor: Dr. Mohammad Reza Motallebi, Advisor: Dr. Mohammad Zarebnia, defence date: Jan. 2016.

38- K. Zareie, Numerical solution of system of linear Fredholm-Volterra integro-differential equation by using Bessel collocation method,
defence date: July 2017.

39- H. Brandak, Solution of nonlinear oscillator equations by using Haar wavelet, defence date: Sept. 2016.

40- F. Ghaffarzadeh, Numerical solution of the system of Fredholm integral equations of second kind by using B-spline wavelet collocation method,
defence date: February 2017.

41- M. Dejamkhoy, Arnoldi methods for image deblurring with anti-reflective boundary conditions, defence date: Sept. 2017. 

42- Y. Shirani Asl, Novel encryption algorithm for color image using alternate chaotic mapping, defence date:July 2017. 

43- R. Kianfar, Image encryption algorithm using cycle shift chaotic system, defence date:July 2017. 

44- H. Safari, Numerical method for solution of the generalized regularized long wave equation using septic B-spline collocation method,
defence date: February 2018.

45- S. Karamati, Supervisor: Dr. Nemat Abazari, Advisor: Dr. Mohammad Zarebnia, defence date: July 2017.

46- Z. Yousefi, A Study on the Translation and Homothetical surface with constant curvature,
Supervisor: Dr. Nemat Abazari, Advisor: Dr. Mohammad Zarebnia, defence date: Oct. 2016.

47- H. Pakmanesh, A fast image encryption method by using chaotic 3D map, defence date: September 2018.

48- Z. Afshar, Fuzzy filter based on interval-valued fuzzy sets for image filtering, 
defence date: September 2018.

49- S. Saremi, Numerical solution of fuzzy differential equations by variational iteration method, defence date: September 2018.

50- F. Azizi, Kronecker product approximations for image restoration with anti-reflective boundary conditions, defence date: February 2019.

51- R. Pourmoradi, Numerical simulation for the solution of nonlinear Jaulant-Miodek equations system using quartic B-spline, defence date: February 2019.

52- S. Majidi, Numerical solution of Burger's equation by cubic B-spline quasi-interpolation, defence date: January 2020. 

53- S. Vaziri, A novel chaotic image encryption algorithm using block scrambling and dynamic index based diffusion, defence date: January 2020. 

54- M. Navaie, Iteration methods for solution of Fredholm integral equations of the second kind based on splinen quasi-interpolants, defence date: January 2020. 

55- M. Moradi, Double image compression and encryption using logistic mapped convolution and cellular automata, defence date: January 2020.

56- A. Norouzi, Fourth order cubic B-spline collocation method for the numerical study of the RLW and MRLW equations, defence date: January 2020. 

57- P. Nikjoo, Double-image encryption using discrete fractional random transform and logistic maps, defence date: September 2020. 

58- F. Foroughi Rad, Image encryption algorithm based on piecewise linear chaotic maps, defence date: September 2020.

59- Z. Gholchehreh, On the weil-petersson metric on teichmuller space, 
Supervisor: Dr. N. Abazari, Advisor: Dr. Mohammad Zarebnia, defence date: October. 2020. 

60- A. Ghazanfari, Image encryption algorithm using chaos mapping and reversible cellular automata, 
defence date: Marchr 2021.

61- F. Fotouhi, Applications of deep learning in computer vision, defence date: Mary 2022.

62- P. Eskandari, 
Image encryption algorithm based on chaotic maps and memory cellular automata, defence date: January 2021.

63- P. Osouli, Chebyshev collocation method for solving three-dimensional Fredholm integral equations, Supervisor: Dr. A. Borhanifar, Advisor: Dr. M. Zarebnia, defence date: January. 2022.

64- M. Badie, Applications of machine learning in computer vision, 
defence date: February 2022.



 

Supervised Thesis (Ph.D.):

1- L. Shiri, Numerical solution of delay integral equations,  defence date:Jan 2016. 

2- R. Parvaz, Error estimation based on defect principle for differential equations using collocation method, defence date: November 2017.

3- N. Alinia, Numerical solution of differential equations by using tension spline functions, defence date: August 2018.
 

4- M. Derakhshan, Solution of integral equations using spline quasi interpolant method, defence date: September 2019. 


5- R. Hosseinzadeh, Numerical solution of fuzzy integral equations and fuzzy image processing, defence date: September 2020. 


6- Rama Amiri, Wavelet Theory and Applications, In progress.

7- Zahra Shafinejad, In progress

8- Mahdi Gholami, In progress.



 

 

مقالات چاپ شده

:مقالات چاپ شده:

Journal papers:

1- J. Rashidinia, M. Zarebnia, Solution of a Volterra integral equation by the Sinc-collocation method, Journal of Computational and Applied Mathematics 206 (2007) 801–813.
2- J. Rashidinia, M. Zarebnia, Convergence of approximate solution of system of Fredholm integral equations, Journal of Mathematical Analysis and Applications 333 (2007) 1216–1227.
3- Rashidinia, M. Zarebnia, The numerical solution of integro-differential equation by means of the sinc method, Applied Mathematics and Computation 188 (2007) 1124–1130.
4- J. Rashidinia, M. Zarebnia, New approach for numerical solution of Hammerstein integral equations, Applied Mathematics and Computation 185 (2007) 147–154.
5- J. Rashidinia, M. Zarebnia, Numerical solution of linear integral equations by using Sinc – collocation method, Applied Mathematics and Computation 168 (2005) 806–822.
6- J. Rashidinia, M. Zarebnia, New approach for numerical solution of Volterra integral equations of the Second kind, International Journal of Engineering Science 19 (2008) 59–65.
7- M. Zarebnia, Sinc numerical solution for the Volterra integro-differential equation, Commun. Nonlinear. Sci. Numer. Simulat. 15 (2010) 700-706.
8- M. Zarebnia and J. Rashidinia, Approximate solution of systems of Volterra integral equations with error analysis, International Journal of Computer Mathematics 87(13) (2010) 3052-3062.
9- M. Zarebnia, Z. Nikpour, Solution of linear Volterra integro-differential equations via Sinc functions, International Journal of Applied Mathematics and Computation 2(1) (2010) 1–10.
10- M. Zarebnia, J. Rashidinia, Convergence of the Sinc method applied to Volterra integral equations, Applications and Applied Mathematics 5(1) (2010) pp. 198 – 216.
11- M. Zarebnia, M.G. Ali Abadi, Numerical solution of system of nonlinear second-order integro-differential equations, Computers and Mathematics with Applications 60 (2010) 591-601.
12- M. Zarebnia, Solving Nonlinear Integral Equations of the Hammerstein-type by Using Double Exponential Transformation, Australian Journal of Basic and Applied Sciences 4(8) (2010) 3433-3440.
13- M. Zarebnia, M. G. Ali Abadi, A numerical sinc method for systems of integro-differential equations, Phys. Scr. 82 (2010) 055011 (8pp).
14- K. Jalaei, M. Zarebnia, M. Mirzaee Chalaki, Development of the Sinc Method for Nonlinear Integro-Differential Eequations, Australian Journal of Basic and Applied Sciences 4(11) (2010) 5508-5515.
15- M. Zarebnia, M.G. Ali abadi, A collocation method for numerical solution of second-order boundary value problems of integro-differential equations, Journal of Advanced Research in Scientific Computing 3(1) (2011) 42-52.
16- M. Zarebnia, Approximate solution of integro-differential equations system, Australian Journal of Basic and Applied Sciences 5(5) (2011) 1338-1345.
17- M. Zarebnia, S. Jalili, A numerical solution to a modified Kawahara equation, Journal of Advanced Research in Differential Equations 3(3) (2011) 65-76.
18- M. Zarebnia, M. Hoshyar, M. Sedaghati, Non-polynomial spline method for the solution of problems in calculus of variations, World Academy of Science, Engineering and Technology 75 (2011) 687-992.
19- B. Soltanalizadeh, M. Zarebnia, Numerical analysis of the linear and nonlinear Kuramoto-Sivashinsky equation by using differential transformation, Int. J. of Appl. Math. and Mech. 7(12) (2011) 63-72.
20- M. Zarebnia, N. Aliniya, Sinc-Galerkin Method for the Solution of Problems in Calculus of Variations, World Academy of Science, Engineering and Technology 79 (2011) 1003-1009.
21- M. Zarebnia, S. Jalili, New approach for numerical solution of Fokker-Planck equations, International Journal of Applied Mathematics and Computation Volume 3(3) (2011)169-80.
22- M. Zarebnia, M. Sajjadian, The sinc–Galerkin method for solving Troesch’s problem, Mathematical and Computer Modelling 56 (2012) 218 – 228.
23- M. Zarebnia, Z. Sarvari, Parametric spline method for solving Bratu’s problem, International Journal of Nonlinear Science 14(1) (2012) 3-10.
24- M. Zarebnia, M. Birjandi, The numerical solution of problems in calculus of variation using B-spline collocation method, Journal of Applied Mathematics 2012 (2012) 1-10.
25- M. Zarebnia, M. Sajjadian, Convergence of the sinc-Galerkin method for the Bratu equation, Chiang Mai J. Sci. 41(3) (2014) 714-723.
26- M. Zarebnia, Z. Sarvari, New approach for numerical solution of the one-dimensional Bratu equation, Thai Journal of Mathematics 11(3) (2013) 611-621.

27- M. Zarebnia, A numerical solution of nonlinear Volterra-Fredholm integral equations, Journal of Applied Analysis and Computation 3(1) (2013) 95-104.
28- M. Zarebnia, R. Parvaz, Cubic B-spline collocation method for numerical solution of the One-dimensional hyperbolic telegraph equation, Journal of Advanced Research in Scientific Computing 4(4) (2012) 46-60.

29- M. Zarebnia, M. Takhti, A numerical solution of a kawahara equation by using multiquadric radial basis function, Theory of Approximation and Applications, 9(1) (2013) 115-125.
30- M. Zarebnia, S. Jalili, Application of spectral collocation method to a class of nonlinear PDEs, Communications in Numerical Analysis 2013 (2013) 1-14.
31- M. Zarebnia, R. Parvaz, Septic B-spline collocation method for numerical solution of the Kuramoto-Sivashinsky equation, Int. J. Math. Scie. 7(4) (2013) 42-46.
32- M. Zarebnia, S. Khani, Numerical solution of Hammerstein integral equations by using quasi-interpolation, Int. J. Math. Scie. 7(4) (2013) 38-41.
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33- M. Zarebnia, Z. Sarvari,  Numerical solution of the boundary value problems in calculus of variations using parametric cubic spline method, Journal of Information and Computing Science 8(4) (2013) 275-282.
34- M. Zarebnia, N. Aliniya, A collocation method for numerical solution of the generalized Burgers-Huxley equation, Walailak Journal of Science and Technology 11(8) (2014) 687-701.
35- M. Zarebnia, Z. Sarvari, Numerical solution of variational problems via parametric quintic spline method, Journal of Hyperstructures 3(1) (2014) 40-52. 
36- M. Zarebnia, M. Hoshyar, Solution of Bratu-type equation via spline method, Acta Universitatis Apulensis 37 (2014) 61-72. 
37- M. Zarebnia, N. Aliniya, Double exponential transformation in the sinc-Galerkin method for the solution of problems in calculus of variations, Commu. Num. Anal. 2014 (2014) 1-13.
38- M. Zarebnia, S. Khani, R. Parvaz, Quasi-interpolation method for numerical solution of Volterra integral equations,  Int. J. Math. Engin. Sci. 3(2) (2014) 14-24. 
39- M. Zarebnia, R. Parvaz, B-Spline collocation method for numerical solution of the nonlinear two-point boundary value problems with applications to chemical reactor theory, Int. J. Math. Engin. Sci. 3(3) (2014) 6-10.
40- M. Zarebnia, R. Parvaz, Numerical study of the Benjamin-Bona-Mahony-Burgers equation, Bol. Soc. Paran. Mat. 35(1) (2017) 127-138.
41- M. Zarebnia, M. Derakhshan, Numerical integration using spline quasi-interpolants, Casp. J. Math. Scie. 4(1) (2015) 139-149. 
42- M. Zarebnia, R. Parvaz, On the numerical treatment and analysis of Benjamin-Bona-Mahony-Burgers equation, Appl. Math. Comput. 284 (2016) 79-88.
43- M. Zarebnia, L. ShiriConvergence of numerical method for the solution of nonlinear delay Volterra integral equations, Int. J. Industrial Mathematics 9(2) (2017) 173-181.
44- M. Zarebnia, L. Shiri, Convergence of approximate solution of delay Volterra integral equations, Iranian J. Num. Anal. Opt. 6(2) (2016) 39-50.
45- M. Zarebnia, M. Aghili, A new approach for numerical solution of the modified Kawahara equation, J. Nonlin. Anal. App. 2016(2) (2016) 48-59.
46- M. Zarebnia, L. Shiri, The numerical solution of Volterra integro-differential equations with state-dependent delay, Iran. J. Sci. Technol. Trans. Sci. 41(2) (2017) 465-472.
47- L. Shiri, M. Zarebnia, Convergence of the sinc method applied to delay volterra integral equations, Bull. Iranian Math. Soc. 43(5) (2017) 1357-1375.
48- R. Parvaz, M. Zarebnia, A. Saboor Bagherzadeh, Deviation of the error estimation for second order Fredholm-Volterra integro differential equations, Math.Model. Anal. 21(6) (2016) 719-740. 
49- M. Zarebnia, Convergence analysis of the sinc collocation method for integro-differentrial equations system, Sahand Commun. Math. Anal. 4(1) (2016) 29-42.
50- M. Zarebnia, H. Barandak Imcheh, Numerical solution of variational problems via Haar wavelet quasi-linearization technique, Comput. Meth. Diff. Eq. 4(3) (2016) 249-260.
51- M. Zarebnia, R. Parvaz, A collocation method for the Kuramoto-Sivashisky equation using B-spline, Nonlinear Studies 24(2) (2017) 273-283.
52- M. Zarebnia, M. Aghili, An approximation to the solution of Benjamin-Bona-Mahony-Burgers equation, Comput. Meth. Diff. Eq. 5(4) (2017) 301-309.
53- R. Parvaz, M. Zarebnia, A Combination chaotic system and application in color image encryption, Opt. Laser Tech. 101 (2018) 30-41.
54- M. Zarebnia, R. Parvaz, A. Saboor Bagherzadeh, On the error estimation of spline method for second order boundary value problem, J. Appl. Math. Comput. 58 (2018) 601-619.
55- R. Parvaz, M. Zarebnia, An improved collocation method based on deviation of the error for solving BBMB equation, Comput. Meth. Diff. Eq. 6(2) (2018) 238-247.
56- N. Alinia, M. Zarebnia, A new tension B-spline method for third-order self-adjoint singularly perturbed boundary value problem, J. Comput. Appl. Math. 342 (2018) 521-533.
57- M. Zarebnia, H. Barandak Imcheh, Haar wavelet quasilinearization method for solving nonlinear Troesch's and Bratu's problems, J. Adv. Math. Model. 7(2) (2018) 85-102.
58- N. Alinia, M. Zarebniaa, Trigonometric Tension B-Spline Method for the Solution of Problems in Calculus of Variations, Comput. Math. Math. Phys. 58(5) (2018) 631–641.
59- M. Zarebnia, R. Parvaz, A. Saboor Bagherzadeh, Deviation of the error estimation for Volterra integro-differential equations, Acta Math. Scien. 38B(4) (2018) 1322–1344.
60- R. Parvaz, M. Zarebnia, A. Saboor Bagherzadeh, An improved algorithm based on deviation of the error estimation for first-order integro-differential equations,Soft Computing. 23(16) (2019) 7055-7065. 
61- M. Zarebnia, R. Parvaz, Error analysis of the numerical solution of the Benjamin-Bona-Mahony-Burgers equations, Bol. Soc. Paran. Mat. 38(3) (2020) 177-191.
62- M. Zarebnia, R. Kianfar, R. Parvaz, 
Multi-color image compression-encryption algorithm based on chaotic system and fuzzy transform, Multimedia Tool and Applications 78(8) (2019) 10491-10511.
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63- M. Zarebnia, H. Pakmanesh, R. Parvaz, 
A fast multiple-image encryption algorithm based on hybrid chaotic systems for gray scale images, Optik - International Journal for Light and Electron Optics 179 (2019) 761–773.

64- N. Alinia, M. Zarebnia, A Numerical Algorithm Based on a New Kind of Tension B-Spline Function for Solving Burgers-Huxley Equation, Numerical Algorithms 82 (2019) 1121-1142.
65- 
R. Hosseinzadeh, M. Zarebnia, R. Parvaz, Hybrid image encryption algorithm based on 3D chaotic system and choquet fuzzy integral, Optics and Laser Technology 120 (2019) 105698. 
66- M. Zarebnia, R. Parvaz, Dynamical 2D and 3D image encryption method by hybrid system based on cat map and wavelet transform, Optik - International Journal for Light and Electron Optics 219 (2020) 165148.
67- M. Derakhshan, M. Zarebnia, New approach for solution of Volterra integral equations using spline quasi-interpolant, Journal of Hyperstructures 8(2) (2019) 156-170. 
68- R. Parvaz, M. Zarebnia, As. Bagherzadeh, A study of error estimation for second order Fredholm integro-differential equations, Indian J. Pure and Appl. Math. 51 (2020) 1203-1223.
69
M. Derakhshan, M. Zarebnia, On the numerical treatment and analysis of two-dimensional Fredholm integral equations using quasi-interpolant, Computational and Applied Mathematics (2020) 39:106  
70- M. Zarebnia, R. Parvaz, A new approach for solution of Telegraph equation, Int. J. Nonlinear Anal. Appl. 12 (2021) No. 1, 385-396.
71- R. Hosseinzadeh1 · M. Zarebnia, Application and comparison of the two efficient algorithms to solve the pantograph Volterra fuzzy integro-differential equation, Soft Computing 25 (2021) 6851–6863.
72- M. Derakhshan, M. Zarebnia, On the numerical treatment and analysis of Hammerstein integral equation, Comput. Meth. Diff. Eq. 9(2) (2021) 493-510.
73- M. Zarebnia, R. Parvaz, An approximation to the solution of one-dimensional hyperbolic telegraph equation based on the collocation of quadratic B-spline functions, Comput. Meth. Diff. Eq. 9(4) (2021) 1198-1213.
74- M. Zarebnia, R. Parvaz, Image encryption algorithm by fractional based chaotic system and framelet transform, Chaos, Solitons & Fractals 152 (2021) 111402.
75- R.Amiri , M. Zarebnia, R. Raisi Tousi​​​​​​​, A Numerical Formulation for N-Dimensional Wave Equations Using Shearlets, Control and Optimization in Applied Mathematics, 5(2) (2020) 11-24.



 



Conference papers:
 

1- J.Rashidinia, M. Zarebnia, Convergence of sinc method for solution of second order boundary value problems, 33-th Annual Iranian Mathematics Conference, September 2002, Mashhad - Iran.

2J. Rashidinia, M. Zarebnia, Numerical Solution of Initial Value Problems based on sinc method, 35-th Annual Iranian mathematics Conference, February 2005, Ahvaz - Iran.

3- J. Rashidinia, M. Zarebnia, Sinc- Galerkin method for solution of boundary value problem in plate deflection theory, The First International Conference on Modeling, Simulation and Applied Optimization, Sharjah, U.A.E. February 1-3, 2005.

4- J. Rashidinia, M. Zarebnia, Numerical solution of Volterra integral equations of the second kind, 36-th Annual Iranian mathematics conference, September 2005, Yazd – Iran.

5- M.R. Fadaei Yami, M. Zarebnia, Approximate solution of boundary value problem in plate deflection theory, 37-th Annual Iranian Mathematics Conference, September 2006, Tabriz – Iran .

6- J. Rashidinia, M. Zarebnia, Numerical Solution of linear Integro-differential equation, International Conference of Computational Methods in Sciences and Engineering (ICCMSE), Chania, Crete, Greece. 

7- M. Zarebnia, J. Rashidinia, Solution of nonlinear Volterra-Hammerstein integral equations via Sinc function, 38-th Annual Iranian Mathematics Conference, September 2008, Zanjan- Iran.

8-  M.R. Fadaei Yami, M. Zarebnia, New approach for numerical solution of fifth-order boundary value problems, 38-th Annual Iranian Mathematics Conference, September 2008, Zanjan- Iran.

9- M. Zarebnia, Z. Nikpour, New approach for numerical solution of integro-differential equations, 40-th Annual Iranian Mathematics Conference, Augus 2009, Tehran-Iran.

10- B. Soltanalizadeh, M. Zarebnia, A numerical method for the weakly singular Volterra integral equations, 40-th Annual Iranian Mathematics Conference, Augus 2009, Tehran-Iran.

11- M. Zarebnia, M. Aghili, A mesh-free method for numerical solution of modified Kawahara equation, 9-th Seminar of Differential Equations and Dynamical System(SDEDS), Tabriz, Iran, 11-13 July 2012. 

12- M. Zarebnia, M. Aghili, A mesh-free method for approximate solution of Benjamin-Bona-Mahony-Burgers equation, 9-th Seminar of Differential Equations and Dynamical System(SDEDS), Tabriz, Iran, 11-13 July 2012.

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13- M. Zarebnia, M. Derakhshan Khanghah, Numerical integration using spline quasi-interpolants, 10-th Seminar on Differential Equations and Dynamical Systems, Mazandaran, Iran, 6-7 Nov. 2013.

14- M. Zarebnia, M. Derakhshan Khanghah, Spline Quasi-interpolants method for solving triple integrals, 7-th Seminar on Linear Algebra and its Applications, Mashhad, Iran, 26-27 Feb. 2014.

15- M. Zarebnia, M. Derakhshan Khanghah, H. Feyzollahzade, Numerical solution of Fredholm integral equation, 7-th Seminar on Linear Algebra and its Applications, Mashhad, Iran, 26-27 Feb. 2014.

16- M. Zarebnia, M. Derakhshan Khanghah, New approach for numerical solution of double integrals, 2-th national-electronic conference on development of Sciences, Jahrom, Iran, 8-9 Mar. 2014.

17- M. Zarebnia, R. Parvaz, Algebraic systems arising in B-spline method, 3-th seminar on algebra and its applications, 12-14 Aug. 2014, Ardabil-Iran.


18- M. Zarebnia, R. Parvaz, Linear algebraic systems arising from the BBMB equation, 3-th seminar on algebra and its applications, 12-14 Aug. 2014, Ardabil-Iran.

19- M. Zarebnia, N. Aliniya, R. Parvaz, A collocation method for the solution of problems in calculus of variations, 45-th Annual Iranian Mathematics Conference, 26-29 Aug. 2014, Semnan-Iran.  

20- M. Zarebnia, R. Parvaz, N. Aliniya, New approach for solving second-order boundary value problems, 45-th Annual Iranian Mathematics Conference, 26-29 Aug. 2014, Semnan-Iran. 

21- M. Zarebnia, A collocation method for solution of nonlinear integro-differential equations, 5-th International Scientific Conference of Iranian Academicians Abroad in Turkey, 20-21 February 2015. Ankara, Turkey.

22- M. Zarebnia, R. Parvaz, Linear algebra systems arising from the Kuramoto Sivashinskey equation, The 8th Seminar on Linear Algebra and its Application, 13-14 May 2015, University of Kurdistan, Iran.

23- M. Zarebnia, R. Parvaz, A new approach based on haar wavelet for solving one-dimensional hyperbolic telegraph equation, The 12th Seminar on Differential Equation and Dynamical System, 27-29 May 2015, University of Tabriz, Iran.

24- M. Zarebnia, L. shiri, Numerical solution of delay Volterra integro-differential equations, The 12th Seminar on Differential Equation and Dynamical System, 27-29 May 2015, University of Tabriz, Iran.

25- M. Zarebnia, Numerical solution of integro-differential equation systems, The 5th International Conference on Control and Optimization with Industrial Applications, 27-29 August 2015, Baku, Azerbaijan. 

26- M. Zarebnia, N. Alinia, Solution of Bratu-type equation via new tension B-spline method, The 8th International Congress of mathematics and applications, 21 January 2016, Tehran, Iran.

27- M. Zarebnia, R. Parvaz,  Haar wavelet method for solving one-dimensional Burgers equation, The 3rd International CUA Graduate Students Symposium, 5-6 June 2016, Ardabil, Iran.

28- H. Barandak Imcheh, M. Zarebnia, R. Parvaz, A study of algebraic system arising from MRLW problems, The 4th Seminar on Algebra and its Applications, 9-11 August 2016, Ardabil, Iran. 

29- R. Parvaz, M. Zarebnia, Linear algebraic system for Korteweg-de vires- Burgers equation, The 4th Seminar on Algebra and its Applications, 9-11 August 2016,  Ardabil, Iran

30- R. Amiri, M. Zarebnia, R. Raisi,
Shearlet frame application in solving some 2-D numerical analysis problems, The 5th Seminar on Harmonic Analysis and Applications, 18-19 January 2017, Mashhad, Iran.

31- H. Pakmanesh, M. Zarebnia, R. Parvaz, 
A fast and efficient color image encryption based on combination chaotic system, 49-th Annual Iranian Mathematics Conference, 23-26 August 2018, Tehran, Iran.

32- 
 R. Amiri, M. Zarebnia, R. Raisi, Solution of two-dimensional Volterra integral equations using shearlets, The 49-th Annual Iranian Mathematics Conference, 23-26 August 2018, Tehran, Iran.
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33- R. Amiri, M. Zarebnia, R. Raisi Tousi, Development of a numerical formulation for n-dimensional heat equation, The 6-th seminar on functional analysisand its applications, 27-28 January 2021, Isfahan, Iran. 

34- M. Zarebnia, F. Fotouhi, An Overview on Convolutional Neural Networks, The 7-th International Conference on Science and Technology of Electrical, Computer and Mechanical Engineering of Iran, 11-13 March 2022, Tehran, Iran.






 

افتخارات و جوایز

- دانشجوی ممتاز و فارغ التحصيل رتبه اول در دوره کارشناسی

- دانشجوی ممتاز آموزشی در دوره فوق ليسانس

-  دانشجوی ممتاز آموزشی دانشکده ریاضی دانشگاه علم و صنعت ایران در سال تحصیلی 85-1384در مقطع دکتری

- دانشجوی ممتاز پژوهشی دانشکده ریاضی دانشگاه علم و صنعت ایران در سال تحصیلی 85-1384در مقطع دکتری

- فارغ التحصيل رتبه اول دوره دکتری

- پژوهشگر منتخب دانشکده علوم ریاضی در سال 1392

- مدیر نمونه دانشگاه محقق اردبیلی در سال 1396

فعالیت های اجرایی

- مدیر گروه آموزشی ریاضی کاربردی دانشگاه محقق اردبیلی
- سرپرست گروه آموزشی علوم کامپیوتر دانشگاه محقق اردبیلی
- معاون پژوهشی و تحصیلات تکمیلی دانشکده علوم ریاضی دانشگاه محقق اردبیلی 
- مدیر نظارت، ارزیابی و تضمین کیفیت دانشگاه محقق اردبیلی و دبیر هیأت نظارت، ارزیابی و تضمین کیفیت آموزش عالی استان اردبیل
- رئیس مرکز رشد واحد های فناوری دانشگاه محقق اردبیلی
- مدیر استعداد درخشان، برنامه ریزی درسی، مرکز آموزش های مجازی و دوره های آزاد و مهارتی دانشگاه محقق اردبیلی


 

داوری مقالات در مجلات علمی

1- International Journal of Computer Mathematics
2- Arab Journal of Mathematical Sciences
3- World Applied Science Journal
4- Journal of Advanced Research in Scientific Computing
5- Applications and Applied Mathematics: An International Journal (AAM)
6- Journal of Mathematical Modelling and Algorithms
7- Journal of Computational and Applied Mathematics
8- Applied Mathematics and Computation
9- Numerical Algorithms
10- Ain Shams Engineering Journal
11- International Journal of Nonlinear Science
12- Institute of Advanced Scientific Research
13- Alexandria Engineering Journal
14- Journal of Linear and Topological Algebra
15- Mathematical Modelling and Analysis
16- 
Computational Methods for Differential Equation
17- TWMS J. App. Eng. Math.
18- International Journal of Nonlinear Sciences and Numerical Simulation
19- Journal of Hyperstructures
20- Applied Mathematics and Information Sciences Letters
21- Journal of Advanced Mathematical Modeling

 

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