Younes Talaei
Faculty of New Technologies (Namin Campus)
Department of Advanced Science
Phone: 989147046009+
Email: Talaei@uma.ac.ir
ORCID: https://orcid.org/0000-0002-0145-4683
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Education
Awards
Memberships
Fields of Interest
- Numerical solution of fractional integral-differential equations
- Numerical solution of ODE's and PDE's
- Numerical solution of inverse problems
- Spectral and finite element methods
13 - Y. Talaei, M. Zaky, A. Hendy A fractional spectral Galerkin method for Fuzzy Volterra integral equations with weakly singular kernels: Regularity, convergence, and applications, Fuzzy Sets and Systems,2025
12 - Talaei, Y., Zaky, M.A. & Hendy, A.S. An easy-to-implement recursive fractional spectral-Galerkin method for multi-term weakly singular Volterra integral equations with non-smooth solutions. Numer Algor 97, 1089–1117 (2024). https://doi.org/10.1007/s11075-023-01742-3
11 - Shahmorad, S., Talaei, Y. & Tunç, C. Review of recursive and operational approaches of the Tau method with a new extension. Comp. Appl. Math. 42, 307 (2023). https://doi.org/10.1007/s40314-023-02444-1
10 - Y. Talaei, S. Noeiaghdam, H. Hosseinzadeh, “Numerical solution of fractional order Fredholm integro-differential equations by spectral method with fractional basis functions”, Bulletin of Irkutsk State University. Series Mathematics, 45 (2023), 89–103
9 - Talaei, Y., Lima, P.M. An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions. Comp. Appl. Math. 42, 190 (2023). https://doi.org/10.1007/s40314-023-02333-7
8 - Younes Talaei, Sanda Micula, Hasan Hosseinzadeh, Samad Noeiaghdam. A novel algorithm to solve nonlinear fractional quadratic integral equations[J]. AIMS Mathematics, 2022, 7(7): 13237-13257. doi: 10.3934/math.2022730
7 - Talaei, Y., Shahmorad, S., Mokhtary, P. et al. A fractional version of the recursive Tau method for solving a general class of Abel-Volterra integral equations systems. Fract Calc Appl Anal 25, 1553–1584 (2022). https://doi.org/10.1007/s13540-022-00070-y
6 - Talaei, Y and Hosseinzadeh, H and Noeiaghdam, S.:A Finite Difference-Spectral Method for Solving the European Call Option Black-Scholes Equation. Mathematical Modelling of Engineering Problems, International Information and Engineering Technology Association, 8(2), 273 − 278, 2021.
5 - D. Conte, S. Shahmorad, Y. Talaei, New fractional Lanczos vector polynomials and their application to system of Abel-Volterra integral equations and fractional differential equations, J. Comput. Appl. Math., 366 (2020), 112409. https://doi.org/10.1016/j.cam.2019.112409
4 - Talaei, Y., Shahmorad, S. & Mokhtary, P. A new recursive formulation of the Tau method for solving linear Abel–Volterra integral equations and its application to fractional differential equations. Calcolo 56, 50 (2019). https://doi.org/10.1007/s10092-019-0347-y
3 - Ardabili, J.S., Talaei, Y. Chelyshkov Collocation Method for Solving the Two-Dimensional Fredholm–Volterra Integral Equations. Int. J. Appl. Comput. Math 4, 25 (2018). https://doi.org/10.1007/s40819-017-0433-2
2 - Talaei, Y. Chelyshkov collocation approach for solving linear weakly singular Volterra integral equations. J. Appl. Math. Comput. 60, 201–222 (2019). https://doi.org/10.1007/s12190-018-1209-5
1 - Talaei, Y., Asgari, M. An operational matrix based on Chelyshkov polynomials for solving multi-order fractional differential equations. Neural Comput & Applic 30, 1369–1376 (2018). https://doi.org/10.1007/s00521-017-3118-1
برنامه هفتگی استاد در ترم جاری
| نام درس | مقطع | زمان و مکان ارائه |
|---|
2 - Numerical and approximate solution of fractional partial differential equations by using non-local conditions, Hossein Sadegh,
1 - Numerical solution a class of partial differential equations by using the Bi-spline functions, اركان مظفر عبدالحميد (دانشجوی اتباع خارجی-عراق) ,
Master
14 - Solving Ordinary Differential Equations Using Genetic Algorithms and Taylor Series Matrix Method, Arefeh Azimzadeh,
13 - Solving Fredholm Integral Equations Using Deep Learning, Maryam Azmoun,
12 - A Hermite Polynomial Approach for Solving the SIR Model of Epidemics, Milad Maqbool,
11 - A computational approach with residual error analysis for the fractional-order biological population model, Elnaz Salimi,
10 - Analysis of Covid 19 Disease with SIR Model and Taylor Matrix Method, Elnaz Azaddel,
9 - Mathematical modeling of radiotherapy cancer treatment using Caputo fractional derivative, Solmaz Qarshizadeh,
8 - Finite difference method for the Black-Scholes equation without boundary conditions, ٍElham Mansoori,
7 - Numerical analysis of the mathematical model of the tumor, Adel Nnematzadeh,
6 - An exponential Galerkin method for solutions of HIV infection model of CD4+ T-cells, Mehri Mehrnoosh,
5 - روش ماتریس عملیاتی موجک لژاندر برای حل معادله دیفرانسیل مرتبه کسری ریکاتی, سارا احمدنیا ,
4 - Bernstein Operational Matrix with Error Analysis for Solving High Order Delay Differential Equations, Elham Motahrinia,
3 - A collocation method based on Bernstein polynomials for solving nonlinear Fredholm-Volterra integral-differential equations, Negin Moharamnejad,
2 - A new collocation method for solving differential integral-differential equations, Shima Taheri,
1 - Numerical solution of Abel integral equations by using Touchard and laguerre polynomials, Amin Nouri, 2025
Mathematical model of typhoid fever with health education: Stability analysis and numerical simulation, Tehran, Iran
Numerical solution of two dimensional Fredholm integral equations via Bernestian polynomials
Review of the Tau method
