Research Areas
Applied Mathematics
Education
2016.09 - 2020.12 Ph.D. in Applied Mathematics, Iran University of Science and Technology, Iran. GPA: 4/4 (Rank: 1/7)
2010.09 - 2012.07 M.S. in Pure Mathematics, University of Sistan and Baluchestan, Iran
2006.09 - 2010.07 B.S. in Applied Mathematics, University of Qom, Iran
Career Experience
2023.12 - Current Postdoctoral Fellow, Yau Mathematical Sciences Center (YMSC) of Tsinghua University, China
2022.07 - 2023.07 Postdoctoral Fellow, Iran University of Science and Technology, Iran
2021.03 - 2022.05 Postdoctoral Fellow, Iran University of Science and Technology, Iran
Publications
1. T. Eftekhari, J. Rashidinia, A new hybrid approach for nonlinear stochastic differential equations driven by multifractional Gaussian noise. Mathematical Methods in the Applied Sciences, 46 (12) (2023). 13469-13484. https://doi.org/10.1002/mma.9265
2. T. Eftekhari, J. Rashidinia, A new operational vector approach for time-fractional subdiffusion equations of distributed order based on hybrid functions. Mathematical Methods in the Applied Sciences, 46 (1) (2023), 388-407. https://doi.org/10.1002/mma.8517
3. T. Eftekhari, J. Rashidinia, An investigation on existence, uniqueness, and approximate solutions for two-dimensional nonlinear fractional integro-differential equations. Mathematics, 11 (4) (2023), 824. https://doi.org/10.3390/math11040824
4. T. Eftekhari, S. M. Hosseini, A new and efficient approach for solving linear and nonlinear time-fractional diffusion equations of distributed-order. Computational and Applied Mathematics, 41 (6) (2022). 1-22. https://doi.org/10.1007/s40314-022-01981-5
5. T. Eftekhari, J. Rashidinia, A novel and efficient operational matrix for solving nonlinear stochastic differential equations driven by multi-fractional Gaussian noise. Applied Mathematics and Computation, 429 (2022) 127218. https://doi.org/10.1016/j.amc.2022.127218
6. T. Eftekhari, E. Golpar-Raboky, A novel two-step iterative method based on real interval arithmetic for finding enclosures of roots of systems of nonlinear equations. International Journal of Nonlinear Analysis and Applications, (2022), 1-11. http://dx.doi.org/10.22075/ijnaa.2022.24572.2773
7. T. Eftekhari, J. Rashidinia, K. Maleknejad, Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space. Advances in Difference Equations, 2021 (1) (2021), 1-22. https://doi.org/10.1186/s13662-021-03617-0
8. J. Rashidinia, T. Eftekhari, K. Maleknejad, A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets. Numerical Algorithms, 88 (2021), 1617-1639. https://doi.org/10.1007/s11075-021-01088-8
9. K. Maleknejad, J. Rashidinia, T. Eftekhari, A new and efficient numerical method based on shifted fractional-order Jacobi operational matrices for solving some classes of two-dimensional nonlinear fractional integral equations. Numerical Methods for Partial Differential Equations, 37 (3) (2021), 2687-2713. https://doi.org/10.1002/num.22762
10. J. Rashidinia, T. Eftekhari, K. Maleknejad, Numerical solutions of two-dimensional nonlinear fractional Volterra and Fredholm integral equations using shifted Jacobi operational matrices via collocation method. Journal of King Saud University - Science, 33 (1) (2021), 1-11. https://doi.org/10.1016/j.jksus.2020.101244
11. K. Maleknejad, J. Rashidinia, T. Eftekhari, Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz-Legendre wavelets approach. Numerical Methods for Partial Differential Equations, 37 (1) (2021), 707-731. https://doi.org/10.1002/num.22548
12. K. Maleknejad, J. Rashidinia, T. Eftekhari, Existence, uniqueness, and numerical analysis of solutions for some classes of two-dimensional nonlinear fractional integral equations in a Banach space. Computational and Applied Mathematics, 39 (4) (2020), 1-22. https://doi.org/10.1007/s40314-020-01322-4
13. K. Maleknejad, J. Rashidinia, T. Eftekhari, Operational matrices based on hybrid functions for solving general nonlinear two-dimensional fractional integro-differential equations. Computational and Applied Mathematics, 39 (2) (2020), 1-34. https://doi.org/10.1007/s40314-020-1126-8
14. T. Eftekhari, Interval extension of the Halley method and its modified method for finding the root enclosures of nonlinear equations. Computational Methods for Differential Equations, 8 (2), (2020), 222-235. https://dx.doi.org/10.22034/cmde.2020.25755.1320
15. E. Golpar-Raboky, T. Eftekhari, On nilpotent interval matrices. Journal of Mathematical Modeling, 7 (2), (2019), 251-261. https://doi.org/10.22124/jmm.2019.12669.1239
16. K. Maleknejad, J. Rashidinia, T. Eftekhari, Numerical solution of three-dimensional Volterra-Fredholm integral equations of the first and second kinds based on Bernstein's approximation. Applied Mathematics and Computation, 339 (2018), 272-285. https://doi.org/10.1016/j.amc.2018.07.021
17. T. Eftekhari, Interval extension of the three-step Kung and Traub's method. Journal of Modern Methods in Numerical Mathematics, 9:1-2 (2018), 42-52. https://doi.org/10.48550/arXiv.1811.04404
18. T. Eftekhari, An Efficient Class of Multipoint Root-Solvers With and Without Memory for Nonlinear Equations. Acta Mathematica Vietnamica, 41 (2016), 299-311. https://doi.org/10.1007/s40306-015-0132-1
19. T. Eftekhari, Producing an interval extension of the King method. Applied Mathematics and Computation, 260 (2015), 288-291. https://doi.org/10.1016/j.amc.2015.03.079
20. T. Eftekhari, A new proof of interval extension of the classic Ostrowski's method and its modified method for computing the enclosure solutions of nonlinear equations. Numerical Algorithms, 69 (2015), 157-165. https://doi.org/10.1007/s11075-014-9887-z
21. T. Eftekhari, A new family of four-step fifteenth-order root-finding methods with high efficiency index. Computational Methods for Differential Equations, 3 (2015), 51-58. https://cmde.tabrizu.ac.ir/article_3885.html
22. T. Eftekhari, On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations. International Journal of Differential Equations, 2014 (2014), Article ID 495357, 6 pages. https://doi.org/10.1155/2014/495357
23. T. Eftekhari, A New Sixth-Order Steffensen-Type Iterative Method for Solving Nonlinear Equations. International Journal of Analysis, 2014 (2014), Article ID 685796, 5 pages. https://doi.org/10.1155/2014/685796
24. T. Lotfi, T. Eftekhari, A New Optimal Eighth-Order Ostrowski-Type Family of Iterative Methods for Solving Nonlinear Equations. Chinese Journal of Mathematics, 2014 (2014), Article ID 369713, 7 pages.
https://doi.org/10.1155/2014/369713
Conference talks
1. Existence and uniqueness of solution for a class of nonlinear distributed-order fractional differential equations, The 53th Annual Iranian Mathematics Conference, September 5-8, 2022, University of Science & Technology of Mazandaran, Iran
2. Numerical method for distributed-order time-fractional sub-diffusion equations, The 9th Seminar on Numerical Analysis and Its Applications, May 9-11, 2022, University of Guilan, Iran
3. Numerical solutions of nonlinear distributed-order sub-diffusion model arising in the porous theories concerned with percolation into rocks with cracks, The 2nd Online International Conference on Applied Science & Engineering, April 11-12, 2022, Coalesce Research Group, USA
4. A new stochastic operational matrix for solving nonlinear stochastic differential equations driven by variable-order fractional Brownian motion, The 3rd International Conference on Machine Learning and Intelligent Systems (MLIS2021), November 8-11, 2021, Xiamen, China
5. Nonlinear stochastic differential equations and novel operational matrix method, The 52th Annual Iranian Mathematics Conference, August 30 - September 2, 2021, Shahid Bahonar University of Kerman, Iran
6. A new operational vector for solving the general form of distributed order fractional differential equations, The 51th Annual Iranian Mathematics Conference, January 16-19, 2021, Kashan University, Iran
7. Operational matrices for solving two-dimensional nonlinear fractional integral equations, The 51th Annual Iranian Mathematics Conference, January 16-19, 2021, Kashan University, Iran
8. Numerical solutions for the general form of distributed order time-fractional differential equations, The 2nd International Conference on Machine Learning and Intelligent Systems (MLIS2020), October 25-28, 2020, Seoul, Republic of Korea
9. Shifted Jacobi operational matrix method for solving the general form of two-dimensional nonlinear integro-differential equations of fractional order, The 50th annual Iranian mathematics conference, August 26-29, 2019, Shiraz University, Iran
10. A numerical method for Wiener-Hopf integral equations of the first and second kinds, The 49th annual Iranian mathematics conference, August 23-26, 2018, Iran University of Science and Technology, Iran
11. A new and an efficient interval iterative method for solving system of nonlinear equations, The 49th annual Iranian mathematics conference, August 23-26, 2018, Iran University of Science and Technology, Iran
12. Some new interval iterative methods for solving systems of nonlinear equations, The 49th annual Iranian mathematics conference, August 23-26, 2018, Iran University of Science and Technology, Iran
13. Nilpotent Interval Matrices and Their Properties, The 49th annual Iranian mathematics conference, August 23-26, 2018, Iran University of Science and Technology, Iran.
14. A new three-step interval iterative method, The 9th Seminar on Nonlinear Analysis and its Applications, February 28 - March 1, 2018, Imam Khomeini International University, Iran
15. Solving nonlinear equations based on real interval arithmetic, The 9th Seminar on Nonlinear Analysis and its Applications, February 28 - March 1, 2018, Imam Khomeini International University, Iran
16. Two-point methods with memory for solving nonlinear equations, The 7th Seminar on Linear Algebra and its Applications, February 25-27, 2014, Ferdowsi University of Mashhad, Iran
17. Two new families of iterative methods of optimal eight-order convergence for solving nonlinear equations, The 7th Seminar on Linear Algebra and its Applications, February 25-27, 2014, Ferdowsi University of Mashhad, Iran
18. A New Two step Method for Solving Nonlinear Equations, The 4th Iranian Conference on Numerical Analysis and its Applications, May 8-9, 2013, Faculty of Computer and Mathematics, Iran
19. Extension of Rotfel'd Theorem, The 43rd Annual Iranian Mathematics Conference, August 26-30, 2012, University of Tabriz, Iran
20. Two Hilbert Schmidt Operator Equalities, The 20th Seminar on Mathematical Analysis and its Applications, July 9-11, 2012, University of Maragheh, Iran
Teaching Assistant
2012.09 - 2013.01 Differential and Integral Calculus, Faculty of Science, University of Qom, Iran
其他
2024.02 - Current Qiuzhen Yiyou Scholar, Tsinghua University
Membership
American Mathematical Society
Iranian Mathematical Society
其他
International Conference on Data Analytics and Computational Techniques (ICDACT-2021), VIT Bhopal University, India, Dec. 7-9, 2021, International Advisory Committee
2019 International Conference on Robotics, Intelligent Control and Artificial Intelligence（RICAI 2019), Shanghai, China, September 20-22, 2019, Technical Program Committee
Programming
Python, MATLAB, Maple, Wolfram Mathematica
