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Novel numerical method of the fractional cable equation

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Abstract

In this article, mainly based on the second order compact approximation of first order derivative, the novel numerical method with second order temporal accuracy and fourth order spatial accuracy is proposed to solve the fractional cable equation. The numerical analysis involving convergence and stability of the novel numerical method subject to strict and detailed discussion. In addition, the numerical experiment strongly support the theoretical analysis results.

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Authors and Affiliations

  1. School of Applied Mathematics, Xiamen University of Technology, Xiamen, 361024, China

    Y. Chen

  2. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China

    Chang-Ming Chen

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  1. Y. Chen
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  2. Chang-Ming Chen
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Correspondence to Chang-Ming Chen.

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Chen, Y., Chen, CM. Novel numerical method of the fractional cable equation. J. Appl. Math. Comput. 62, 663–683 (2020). https://doi.org/10.1007/s12190-019-01302-w

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  • DOI: https://doi.org/10.1007/s12190-019-01302-w

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