دکتر پیام مختاری اقدمی
Publications:
[38] With N. Ayazi, B. Parsa Moghaddam, Efficiently solving fractional delay differential equations of variable order via an adjusted spectral element approach, Chaos, Solitons & Fractals, 181 (2024), 114635.
[37] With R. Kaafi, E. Hesameddini, Operational Jacobi Galerkin method for a class of cordial Volterra integral equations, Numer. Algorithms, 12 October (2023).
[36] With F. Gholami Bahador, M. Lakestani, Mixed Poisson-Gaussian noise reduction using a time-space fractional differential equations, Inform. sci., 647, (2023) 119417 .
[35] WithR. Kaafi, E. Hesameddini, A novel approach based on the Muntz-Legendre polynomials for solving a class of the generalized Abel integral equations, J. Inf. Optim. Sci., To appear.
[34] WithR. Kaafi, E. Hesameddini, A novel algorithm and its convergence analysis for solving the generalized Abel integral equations through fractional calculus, Asian-Eur. J. Math., (2023) 2350158 (19 pages).
[33] With F. Ghoreishi, Error analysis of the generalized Jacobi Galerkin method in nonlinear fractional differential equations, Progress in Fractional Differentiation & Applications, 9 (2023), no. 4, 687-700.
[32] With F. Gholami Bahador, M. Lakestani, A fractional coupled system for simultaneous image denoising and deblurring, Computers & Mathematics with Applications, 128 (2022) 285-299.
[31] With Y. Talaei, S. Shahmorad and Amin Faghih, A Fractional version of the recurisive Tau method for solving general class of Abel-Volterra integral equations systems, Frac. Calc. Appl. Anal., (2022) 25:1553–1584.
[30] With Amin Faghih, Non-linear system of multi-order fractional differential equations: Theoretical analysis and a robust fractional Galerkin, J. Sci. Comput., (2022) 91:35.
[29] With Amin Faghih, A novel Petrov-Galerkin method for a class of linear systems of fractional differential equations, Appl. Numer. Math., 169 (2021), 396-414.
[28] With Amin Faghih, A new fractional collocation method for a system of multi-order fractional differential equations with variable coefficients. J. Comput. Appl. Math., 383 (2021), 113-139.
[27] With Amin Faghih, An efficient formulation of Chebyshev Tau method for constant coefficients systems of multi-order FDEs, J. Sci. Comput., 82 (2020), no. 1, paper no. 6, 25 pp.
[26] With Y. Talaei, S. Shahmorad, A new recursive formulation of the Tau method for solving linear Abel-Volterra integral equations and its application to fractional differential equations, Calcolo, 56 (2019), no. 4, paper no. 50, 29 pp.
[25] With H. Zahed, H. Rezapour, The simultaneous effect of the temperature and density gradient on the relativistic self-focusing of the Gaussian laser beam in an under-dens plasma, International Journal of Optics and Photonics (IJOP), 14 (2020), no. 2.
[24] With F. Ghanbari, K. Ghanbari, Numerical solution of a class of fractional order integro-differential algebraic equations using Muntz-Jacobi Tau method, J. Comput. Appl. Math., 362(2019), 172-184.
[23] With B. P. Mogaddam, A. M. Lopes, J. A. Tenreiro Machado, A computational approach for the non-smooth solution of nonlinear weakly singular Volterra integral equation with proportional delay, Numer. Algorithms, 83 (2020), no. 3, 987-1006.
[22] With F. Ghanbari, K. Ghanbari, On the numerical solution of a class of linear fractional integro-differential algebraic equations with weakly singular kernels, Appl. Numer. Math., 144(2019), 1-20.
[21] With H. Ansari, Computational Legendre Tau method for Volterra Hammerstein pantograph integral equations , Bull. Iran. Math. Soc., 45(2019), no. 2, 475-493.
[20] Spectrally accurate and well-posed Jacobi Galerkin method for multiple delays pantograph integral equations, Iran. J. Sci. Technol. Trans. A Sci., 43(2019), 959-967.
[19] With F. Ghanbari, K. Ghanbari, High order Legendre collocation method for fractional order linear semi explicit differential algebraic equations, Elec. Trans. Numer. Anal.(ETNA), 48(2018), 387-406.
[18] With H. Zahed, H. Rezapour, Self-focusing and defocusing of cosh Gaussian laser beam in the presence of nonlinearity of ponderomotive force and temperature gradient, Chinese Journal of Physics, 56(2018), no. 5, 1834-1844.
.
[17] Discrete collocation method for Volterra type weakly singular integral equations with logarithmic kernels, Iran. J. Numer. Anal. Optim.(IJNAO), 8(2018), no. 2, 95-117.
[17] Discrete collocation method for Volterra type weakly singular integral equations with logarithmic kernels, Iran. J. Numer. Anal. Optim.(IJNAO), 8(2018), no. 2, 95-117.
[16] With F. Ghanbari, K. Ghanbari, Generalized Jacobi Galerkin method for nonlinear fractional differential algebraic equations, Computational & Applied Mathematics, 37(2018), no. 4, 5456–5475.
[15] Numerical analysis of an operational Jacobi Tau method for fractional weakly singular integro-differential equations, Appl. Numer. Math., 121(2017), 52-67.
[14] Operational Muntz-Galerkin approximation fo Abel-Hammerstein integral equations of the second kind, Elec. Trans. Numer. Anal.(ETNA), 45(2016), 183-200.
[13] Numerical treatment of a well-posed Chebyshev Tau method for Bagley-Torvik equation with high-order of accuracy, Numer. Algorithms, 72(2016), no. 4, 875-891 .
[12] Discrete Galerkin method for fractional integro-differential equations, Acta Mathematica Scientia, 2016, 36B(2): 560-578.
[11] With M. Gholipour, Discrete Galerkin method for higher even-order integro-differential equations with varable coefficients. Computational methods for differential equations, 3(2015), no. 1, 36-44.
[10] With F. Ghoreishi, H. M. Srivastava, The Muntz-Legendre Tau method for Fractional Differential equations, Appl. Math. Model., 40(2016), 671-684.
[9] High order modified Tau method for non-smooth solutions of Abel integral equations, Elec. Trans. Numer. Anal.(ETNA), 44(2015). 462-471.
[8] Reconstruction of exponentially rate of convergence to Legendre collocation solution of a class of Fractional Integro-Differential equations, J. Comput. Appl. Math., 279(2015), 145-158.
[7] Operational Tau method for nonlinear multi-order FDE's, Iranian Journal of Numerical Analysis and Optimization(IJNAO), 4, No. 2 (2014), 43-55.
[6] With F. Ghoreishi, Convergence analysis of operational Tau method for Abel type Volterra integral equations, Elec. Trans. Numer. Anal.(ETNA), 41 (2014), 289-305.
[5] With F. Ghoreishi, Convergence analysis of spectral Tau method for fractional Riccati differential equations, Bulletin of Iranian Mathematical Society, 40, 5(2014), 1275-1290.
[4] With F. Ghoreishi, Spectral Collocation Method for multi-order fractional differential equations, Int. J. Comput. Methods, 11, 5 (2014), 1350072(23pp)
[3] With F. Ghoreishi, The L^2-convergence of the Legendre spectral Tau matrix formulation for nonlinear fractional integro differential equations, Numer. Algorithms, 58, (2011), 475--496.
[2] With S. M. Hosseini, Rescale and Modify implementation of IRKs methods, Numer. Algorithms, 47 (2008), 315-325.
[1] With S. M. Hosseini, Some implementation aspects of the general linear methods with inherent Runge-Kutta stability, Iranian Journal of Mathematical Sciences and Informatics, 3, (2008), 63-76.
Presentations:
[20] With N. Ayazi, Solving fractional delay differential equations via spectral element collocation approach, 10th Seminar on Numerical Analysis and its Applications, University of Tabriz, 2024, Iran.
[19] With Z. Saki, A discrete Gauss Legendre-Tau approach for the numerical solution of distributed order fractional differential equations, 10th Seminar on Numerical Analysis and its Applications, University of Tabriz, 2024, Iran.
[18] With E. Hesameddini and R. Kafi, Operational Galerkin method for a class of system of generalized Abel integral equations, 54th Annual Iranian mathematics conference, University of Zanjan, 2023, Iran.
[17] With E. Hesameddini and R. Kafi, Control of condition number in spectral Galerkin implementation for solving generalized Abel integral equation, 12th international seminar on linear algebra and its applications, Sahand university of Technology, 2023, Iran.
[17] With E. Hesameddini and R. Kafi, Control of condition number in spectral Galerkin implementation for solving generalized Abel integral equation, 12th international seminar on linear algebra and its applications, Sahand university of Technology, 2023, Iran.
[16] With A. Faghih, A robust spectral scheme for non-linear dynamical model of COVID-19 disease, 9th Seminar on Numerical Analysis and its Applications, University of Guilan, 2022, Iran.
[15] With E. Hesameddini and R. Kafi, The Muntz-Galerkin method for numerical solution of the generalized Abel-integral equation, 52th Annual Iranian mathematics conference, University of Shahid Bahonar Kerman, 2021, Iran.
[14] With A. Faghih, A novel fractional Legendre collocation method for a class of non-linear systems of fractional differential equations, 52th Annual Iranian mathematics conference, University of Shahid Bahonar Kerman, 2021, Iran.
[13] With A. Faghih, Numerical solution of Bagley-Torvik equation using fractional Chebyshev collocation method, 8th Seminar on Numerical Analysis and its Applications, University of Kurdistan, 2021, Iran.
[15] With E. Hesameddini and R. Kafi, The Muntz-Galerkin method for numerical solution of the generalized Abel-integral equation, 52th Annual Iranian mathematics conference, University of Shahid Bahonar Kerman, 2021, Iran.
[14] With A. Faghih, A novel fractional Legendre collocation method for a class of non-linear systems of fractional differential equations, 52th Annual Iranian mathematics conference, University of Shahid Bahonar Kerman, 2021, Iran.
[13] With A. Faghih, Numerical solution of Bagley-Torvik equation using fractional Chebyshev collocation method, 8th Seminar on Numerical Analysis and its Applications, University of Kurdistan, 2021, Iran.
[12] With A. Faghih, Spectral Galerkin method using fractional-order Generalized Jacobi functions for solving linear systems of fractional differential equations, 51th Annual Iranian mathematics conference, University of Kashan, 2021, Iran.
[11] With A. Faghih, A well-conditioned spectral approach for a class of systems of single-order fractional differential equations, 50th Annual Iranian mathematics conference, University of Shiraz, 2019, Iran.
[10] With F. Ghanbari and K. Ghanbari, The Muntz-Jacobi collocation method for solving fractional differential algebraic equations, The first international conference on boundary value problems and applications, University of Tabriz, 2018, Iran.
[9] With F. Ghanbari and K. Ghanbari, The Legendre collocation method for nonlinear fractional order integro-differential algebraic equations with smooth solutions, 48th Annual Iranian mathematics conference, University of Bu-Ali sina, 2017, Iran.
[8] With F. Ghanbari and K. Ghanbari, The pseudospectral method for solving fractional differential algebraic equations(FDAE), 6th seminar on numerical analysis, university of Maragheh, 2016, Iran.
[7] With S. Kafili, Piecewise collocation method for the numerical solution of fractional integro-differential equations with weakly singular kernels, 6th seminar on numerical analysis, university of Maragheh, 2016, Iran.
[6] With H. Ansari, Discrete Galerkin method for pantograph type Volterra integral equations, 6th seminar on numerical analysis, university of Maragheh, 2016, Iran.
[5] With S. M. Hosseini, Basic topics in general linear methods with inherent Runge-Kutta stability for ODE's, 40th Annual Iranian mathematics conference, Sharif University of Technology, Iran.
[4] With F. Ghoreishi, Numerical solution of fractional Integro-differential equations by Galerkin method with an error estimation, 40th Annual Iranian mathematics conference, Sharif University of Technology, Iran.
[3] With F. Ghoreishi, Orthogonal Collocation method for fractional Integro-differential equations, 41th Annual Iranian mathematics conference, University of Urmia, Iran.
[2] With F. Ghoreishi, Condition Number Analysis of the Tau method for FIDE's, 42th Annual Iranian mathematics conference, Vli-e-Asr university of Rafsanjan, Iran.
[1] Petrov Galerkin Method for Fredholm Type Fractional Integro-Differential Equations, 12th Seminar on Differential Equations and Dynamical System, University of Tabriz, Iran.
Research Opportunity:
[1] R. Kaafi, Shiraz university of Technology, 2022.
Ph. D. Students:
[1] F. Ghanbari, (Joint with Prof. K. Ghanbari), Garduated, February 2019.
[2] H. Rezapour, (Joint with Dr. H. Zahed), Graduated, 2019,
[3] Y. Talaei, (Joint with Prof. S. Shahmorad), Graduated, 2020,
[4] A. Faghih, Graduated, 2021,
[5] F. Gholami, (Joint with Prof. M. Lakestani), Graduated, 2023.
[6] N. Ayazi, In Progress,
[1] R. Kaafi, Shiraz university of Technology, 2022.
Ph. D. Students:
[1] F. Ghanbari, (Joint with Prof. K. Ghanbari), Garduated, February 2019.
[2] H. Rezapour, (Joint with Dr. H. Zahed), Graduated, 2019,
[3] Y. Talaei, (Joint with Prof. S. Shahmorad), Graduated, 2020,
[4] A. Faghih, Graduated, 2021,
[5] F. Gholami, (Joint with Prof. M. Lakestani), Graduated, 2023.
[6] N. Ayazi, In Progress,
[7] Z. Saki, In Progress,
[8] S. Ekhraji, In Progress,
[9] Sh. Pasban Hagh, In Progress
[10] S. Kaafi, (Joint with Prof. E.Hesameddini), Graduated, 2024.
[11] H. Azadfar, (Joint with Dr. M. Hajipour), In Progress
[12] M. Kazemian, (Joint with Dr. M. Hajipour), In Progress
M. S. Students:
[1] M. Gholipour, Convergence analysis of spectral Galerkin method for numerical solution of high-order differential equations, September 2015. (Supervisor)
[2] S. Kafili, Piecewise collocation methods for fractional integro-differential equations with weakly singular kernels, September 2016. (Supervisor)
[3] H. Ansari, Spectral methods for pantograph-type differential and integral equations, September 2016. (Supervisor)
[4] Z. Keramati, Convergence analysis of spectral and pseudo-spectral Galerkin methods for Volterra type integral equations, September 2016. (Supervisor)
[5] N. Ayazi, Fractional Sturm-Liouville equations and their applications, July 2018. (Supervisor)
[6] Z. Shahbazi, A multi-domain spectral method for fractional differential equations, January 2019. (Supervisor)
[7] M. Fattahi, High-order nonstandard finite difference schemes for a MSEIR model for a malware propagation, September 2019. (Advisor)
[8] L. Rahimzadeh, Pseudospectral methods for solving optimal control problems on unbounded domains, January2019, (Advisor)
[9] M. Parvizi, Fractional Laguerre polynomials and their applications, January2020, (Advisor)
[10] Kh. Sadeghi Bonab, Regularity analysis of solutions of various linear Volterra functional equations, March2021. (Supervisor)
[11] Sh. Razmavari, Fractional Gauss quadrature and its application in fractional variational problems, September 2021. (Supervisor).
[12] B. Narimani, Theory of nonlinear Volterra integral equations, September 2021. (Supervisor).
[13] M. Jodat, Solving Fredholm integral equations of the first kind using Muntz wavelets. February 2023. (Supervisor).
[14] Sh. Fuman, Spectral approximations to the fractional order integral and derivative. September 2023. (Supervisor).
[12] B. Narimani, Theory of nonlinear Volterra integral equations, September 2021. (Supervisor).
[13] M. Jodat, Solving Fredholm integral equations of the first kind using Muntz wavelets. February 2023. (Supervisor).
[14] Sh. Fuman, Spectral approximations to the fractional order integral and derivative. September 2023. (Supervisor).
Teaching Experience:
-Spectral Methods (Graduate Level)
-Spectral Methods (Graduate Level)
- Approximation Theory (Graduate Level)
- Numerical Solution of Ordinary differential Equations (Graduate Level)
- Fractional Differential Equations (Graduate Level)
- Numerical Solution of Integral Equations (Graduate Level)
- Fractional Differential Equations (Graduate Level)
- Numerical Solution of Integral Equations (Graduate Level)
- Numerical Methods in Linear Algebra (Graduate Level)
- Advanced Numerical Analysis (Graduate Level)
- Mathematics Laboratory (Graduate Level)
- Mathematics Laboratory (Graduate Level)
- Advance Engineering Mathematics (Graduate and Under Graduate Levels)
- Differential Equations, Calculus 1, calculus 2, Numerical Computations(Under Graduate Level)
Reviewer of the Journals:
Applied Numerical Mathematics, Journal of Computational and Applied Mathematics, Numerical Algorithms, Applied Mathematical Modelling, Computational and Applied Mathematics, Mathematical Modelling and Analysis, Applied Mathematics and Computation, International Journal of Computer Mathematics, Mathscinet, Journal of Mathematical Extension, Iranian Journal of Science and Technology(Scieneces). Bulletin of Iranian Mathematical Society, Mathematical Methods in the Applied Sciences. Electronic Transactions on Numerical Analysis (ETNA), Fractional Calculus and Applied Analysis (FCAA).
Awards and achievements:
- Distinguished researcher award of the faculty of basic sciences, SUT, Tabriz, Iran, 2016, 2023.
Memberships:
- Iranian Mathematical Society.
سوابق تحصیلی
| مقطع تحصیلی | سال اخذ مدرک | رشته و گرایش تحصیلی | دانشگاه |
|---|---|---|---|
| کارشناسی | ۱۳۸۴ | ریاضی محض | دانشگاه ارومیه |
| کارشناسی ارشد | ۱۳۸۷ | ریاضی کاربردی - آنالیز عددی | دانشگاه تربیت مدرس |
| دکترای تخصصی | ۱۳۹۲ | ریاضی کاربردی - آنالیز عددی | دانشگاه خواجه نصیرالدین طوسی |
سوابق اجرایی
نماینده دانشکده علوم پایه در دانشکده آموزش های الکترونیکی، آموزشهایآزاد و پردیس دانشگاه 1398-1394
مدیر گروه ریاضی 1402-1400
معاون مدیر اداره تحصیلات تکمیلی 1402 - تاکنون
پژوهشگر برتر دانشکده علوم پایه در سالهای 2016 و 2023
تحلیل عددی معادلات دیفرانسیل کسری - تحلیل عددی معادلات انتگرالی - روشهای طیفی
نماینده انجمن ریاضی ایران در دانشگاه صنعتی سهند1397-1394
برنامه کاری هفتگی
تمامی روزهای شنبه تا چهارشنبه از ساعت 8 الی 16. لطفا قبل از تشریف فرمایی هماهنگ فرمایید.