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Bonyadi, Samira, Mahmoudi, Yaghoub, Lakestani, Mehrdad, Jahangiri rad, Mohammad. (1401). Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method. سامانه مدیریت نشریات علمی, 11(1), 81-94. doi: 10.22034/cmde.2022.49901.2077
Samira Bonyadi; Yaghoub Mahmoudi; Mehrdad Lakestani; Mohammad Jahangiri rad. "Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method". سامانه مدیریت نشریات علمی, 11, 1, 1401, 81-94. doi: 10.22034/cmde.2022.49901.2077
Bonyadi, Samira, Mahmoudi, Yaghoub, Lakestani, Mehrdad, Jahangiri rad, Mohammad. (1401). 'Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method', سامانه مدیریت نشریات علمی, 11(1), pp. 81-94. doi: 10.22034/cmde.2022.49901.2077
Bonyadi, Samira, Mahmoudi, Yaghoub, Lakestani, Mehrdad, Jahangiri rad, Mohammad. Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method. سامانه مدیریت نشریات علمی, 1401; 11(1): 81-94. doi: 10.22034/cmde.2022.49901.2077

Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method

Computational Methods for Differential Equations
مقاله 7، دوره 11، شماره 1، فروردین 2023، صفحه 81-94    اصل مقاله (704.26 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.49901.2077
نویسندگان
Samira Bonyadi1؛ Yaghoub Mahmoudi* 1؛ Mehrdad Lakestani2؛ Mohammad Jahangiri rad1
1Mathematics Department, Tabriz Branch, Islamic Azad University, Tabriz, Iran.
2Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
چکیده
The paper reports a spectral method for generating an approximate solution for the space-time fractional PDEs with variable coefficients based on the spectral shifted Jacobi collocation method in conjunction with the shifted Jacobi operational matrix of fractional derivatives. The spectral collocation method investigates both temporal and spatial discretizations. By applying the shifted Jacobi collocation method, the problem reduces to a system of algebraic equations, which greatly simplifies the problem. Numerical results are given to establish the validity and accuracy of the presented procedure for space-time fractional PDE. 
کلیدواژه‌ها
Jacobi polynomials؛ Operational matrices؛ Space-time PDEs؛ Collocation method
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