دکتری تخصصی ریاضیات کاربردی-گرایش آنالیز عددی-دانشگاه تبریز
- برگزیده طرح شهید صیاد شیرازی از بنیاد ملی نخبگان سال 1396
- کسب رتبه 36 کنکور دکتری سراسری سال 1392
- فارغ التحصیل معدل الف دوره دکتری (19.17) و کارشناسی ارشد (18.67)
- عضو دفتر استعداد درخشان دانشگاه تبریز
- عضو بنیاد پژوهشگران مدعو دانشگاه محقق اردبیلی
- حل عددی معادلات
انتگرال-دیفرانسیل کسری
- حل عددی ODE's و PDE's
- حل عددی مسائل معکوس
- روشهای طیفی و المان
محدود
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
کتاب فارسی
برنامه هفتگی استاد در ترم جاری
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