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An efficient numerical method based on Chelyshkov operation matrix for solving a type of time-space fractional reaction diffusion equation

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Abstract

In this article, a numerical method based on Chelyshkov operation matrix is built to investigate a time-space fractional reaction diffusion model. First of all, we transform the solution of time-space fractional reaction diffusion equation into the solution of a linear system by using operational matrix method. Next, in order to validate the accuracy of this proposed method, error analysis is performed. At last, three excellent numerical examples are also provided to demonstrate the effectiveness and feasibility of the method.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan, 030031, Shanxi, China

    Lihong Zhang, Keke Lu & Guotao Wang

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  1. Lihong Zhang
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  2. Keke Lu
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  3. Guotao Wang
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Correspondence to Guotao Wang.

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Supported by NNSFC(No. 12001344), NSF of Shanxi Province, China (No. 20210302123339) and the Graduate Education and Teaching Innovation Project of Shanxi, China (No. 2022YJJG124).

All authors contributed equally to this work.

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Zhang, L., Lu, K. & Wang, G. An efficient numerical method based on Chelyshkov operation matrix for solving a type of time-space fractional reaction diffusion equation. J. Appl. Math. Comput. 70, 351–374 (2024). https://doi.org/10.1007/s12190-023-01971-8

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  • DOI: https://doi.org/10.1007/s12190-023-01971-8

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