个人简介

研究兴趣

• 非线性滤波问题、深度学习、数值分析、分数随机偏微分方程、逆问题、蒙特卡洛方法、区间分析。

教育经历

• 2016 - 2020 | 伊朗科技大学 | 应用数学 | Ph.D | (Supervisor: Prof. Khosrow Maleknejad and Prof. Jalil Rashidinia)

工作经历

• 2026 - -- | BIMSA | 助理研究员
• 2023 - 2025 | YMSC | 博士后
• 2021 - 2023 | 伊朗科技大学 | 博士后

荣誉与奖项

• 2026 | Beijing International Scientist Project, Beijing Natural Science Foundation (200,000 RMB)
• 2026 | Invited Speaker at The Tenth Triennial International Congress of Chinese Mathematicians (ICCM2025), Shanghai

出版物

• [1] T Eftekhari, Y Sun, High-dimensional delayed stochastic Navier-Stokes models characterized by multi-fractional Gaussian noise: existence, uniqueness, and approximate solutions based on physics-informed deep neural networks, Journal of Computational Mathematics (2026)
• [2] T Eftekhari, J Rashidinia, An effective wavelet approach to solve nonlinear SDEs driven by multi-fractional Gaussian noise, accepted by Journal of Computational Mathematics (2026)
• [3] T Eftekhari, Y Sun, Existence, uniqueness, and physics-informed deep neural networks for physical systems governed by SDEs characterized by multi-fractional Gaussian noise, Neurocomputing, 131884 (2026)
• [4] T Eftekhari, PINNs and numerical techniques for physical systems governed by SDEs characterized by multi-fractional Gaussian noise, The Tenth Triennial International Congress of Chinese Mathematicians … (2026)
• [5] T Eftekhari, J Rashidinia, A novel and efficient operational matrix method for solving multi-term variable-order fractional differential equations, Journal of Mathematical Modeling, 13(3), 629-644 (2025)
• [6] T Eftekhari, J Rashidinia, A new hybrid approach for nonlinear stochastic differential equations driven by multifractional Gaussian noise, Mathematical Methods in the Applied Sciences (2023)
• [7] T Eftekhari, J Rashidinia, An investigation on existence, uniqueness, and approximate solutions for two-dimensional nonlinear fractional integro-differential equations, Mathematics, 11(4), 824 (2023)
• [8] 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), 388-407 (2023)
• [9] 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, 127218 (2022)
• [10] T Eftekhari, SM Hosseini, A new and efficient approach for solving linear and nonlinear time-fractional diffusion equations of distributed order, Computational and Applied Mathematics, 41(6), 281 (2022)
• [11] 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, 13(2), 2685-2695 (2022)
• [12] 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), 1-11 (2021)
• [13] 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 (2021)
• [14] T Eftekhari, J Rashidinia, Operational matrices for solving two-dimensional nonlinear fractional integral equations, The 51th Annual Iranian Mathematics Conference (2021)
• [15] 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), 707-731 (2021)
• [16] 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 …, Numerical Methods for Partial Differential Equations, 37(3), 2687-2713 (2021)
• [17] 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), 461 (2021)
• [18] K Maleknejad, J Rashidinia, T Eftekhari, Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space, Computational and Applied Mathematics, 39(4), 1-22 (2020)
• [19] T Eftekhari, J Rashidinia, Numerical solutions for the general form of distributed order time-fractional differential equations, The 2nd International Conference on Machine Learning and Intelligent Systems (2020)
• [20] 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), 1-34 (2020)
• [21] T Eftekhari, Interval extensions of the Halley method and its modified method for finding enclosures of roots of nonlinear equations, Computational Methods for Differential Equations, 8(2), 222-235 (2020)
• [22] E Golpar Raboky, T Eftekhari, On nilpotent interval matrices, Journal of Mathematical Modeling, 7(2), 251-261 (2019)
• [23] T Eftekhari, Interval extension of the three-step Kung and Traub's method, Journal of Modern Methods in Numerical Mathematics, 9(1-2), 42-52 (2018)
• [24] 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, 272-285 (2018)
• [25] T Eftekhari, An Efficient Class of Multipoint Root-Solvers With andWithout Memory for Nonlinear Equations, Acta Mathematica Vietnamica, 41(2), 299-311 (2016)
• [26] T Eftekhari, A new family of four-step fifteenth-order root-finding methods with high efficiency index, Computational Methods for Differential Equations, 3(1), 51-58 (2015)
• [27] T Eftekhari, Producing an interval extension of the King method, Applied Mathematics and Computation, 260, 288-291 (2015)
• [28] 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(1), 157-165 (2015)
• [29] T Lotfi, T Eftekhari, A New Optimal Eighth‐Order Ostrowski‐Type Family of Iterative Methods for Solving Nonlinear Equations, Chinese Journal of Mathematics, 2014(1), 369713 (2014)
• [30] T Eftekhari, On some iterative methods with memory and high efficiency index for solving nonlinear equations, International Journal of Differential Equations, 2014(1), 495357 (2014)
• [31] T Eftekhari, A New Sixth‐Order Steffensen‐Type Iterative Method for Solving Nonlinear Equations, International Journal of Analysis, 2014(1), 685796 (2014)
• [32] T Lotfi, T Eftekhari, Research Article A New Optimal Eighth-Order Ostrowski-Type Family of Iterative Methods for Solving Nonlinear Equations (2014)

学术服务

• 2026 - -- | Data Analytics and Topology | Associate Editor
• 2025 - -- | Mathematical Sciences | Associate Editor