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Numerical approximation for a variable-order nonlinear reaction–subdiffusion equation

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Abstract

Fractional reaction–subdiffusion equations are widely used in recent years to simulate physical phenomena. In this paper, we consider a variable-order nonlinear reaction–subdiffusion equation. A numerical approximation method is proposed to solve the equation. Its convergence and stability are analyzed by Fourier analysis. By means of the technique for improving temporal accuracy, we also propose an improved numerical approximation. Finally, the effectiveness of the theoretical results is demonstrated by numerical examples.

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Authors and Affiliations

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

    Chang-Ming Chen & Y. Chen

  2. School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, QLD, 4001, Australia

    F. Liu, I. Turner & V. Anh

Authors
  1. Chang-Ming Chen
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  2. F. Liu
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  3. I. Turner
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  4. V. Anh
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  5. Y. Chen
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Correspondence to F. Liu.

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Chen, CM., Liu, F., Turner, I. et al. Numerical approximation for a variable-order nonlinear reaction–subdiffusion equation. Numer Algor 63, 265–290 (2013). https://doi.org/10.1007/s11075-012-9622-6

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  • DOI: https://doi.org/10.1007/s11075-012-9622-6

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