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A collocation method based on reproducing kernel for a modified anomalous subdiffusion equation

Authors

  • Wei Jiang,

    1. Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong, People's Republic of China
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  • Zhong Chen

    Corresponding author
    1. Department of Mathematics, Harbin Institute of Technology, Weihai, Shandong, People's Republic of China
    • Correspondence to: Zhong Chen, Department of Mathematics, Harbin Institute of Technology at Weihai, Shandong 264209, People's Republic of China, (e-mail: cz0309@sina.com)

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Abstract

In this article, we proposed a collocation method based on reproducing kernels to solve a modified anomalous subdiffusion equation problem. We give constructively the math formula-approximate of the equation whose coefficients are determined optimally by solving a system of linear equations. The final numerical experiments demonstrate that the proposed method is simple, effective, and easy to implement. Copyright © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 289–300, 2014

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