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Numerical method with high order accuracy for solving a anomalous subdiffusion equation

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Abstract

In this paper, a numerical method with second order temporal accuracy and fourth order spatial accuracy is developed to solve a anomalous subdiffusion equation; by Fourier analysis, the convergence, stability and solvability of the numerical method are analyzed; the theoretical results are strongly supported by the numerical experiment.

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Authors and Affiliations

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

    Y. Chen & 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. Numerical method with high order accuracy for solving a anomalous subdiffusion equation. Numer Algor 72, 687–703 (2016). https://doi.org/10.1007/s11075-015-0062-y

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  • DOI: https://doi.org/10.1007/s11075-015-0062-y

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