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A second order difference scheme with nonuniform rectangular meshes for nonlinear parabolic system

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Abstract

Abstract In this paper, a difference scheme with nonuniform meshes is proposed for the initial-boundary problem of the nonlinear parabolic system. It is proved that the difference scheme is second order convergent in both space and time.

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Authors and Affiliations

  1. Department of Mathematics, Hunan Institute of Science and Technology, Yueyang, 414006, China

    Zheng-su Wan

  2. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O.Box 8009, Beijing, 100088, China

    Guang-nan Chen

Authors
  1. Zheng-su Wan
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  2. Guang-nan Chen
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Corresponding author

Correspondence to Zheng-su Wan.

Additional information

Supported by the National Natural Science Foundation of China (No. 10671060, No. 10871061), and the Youth Foundation of Hunan Education Bureau (No. 06B037), and the Construct Program of the Key Discipline in Hunan Province.

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Wan, Zs., Chen, Gn. A second order difference scheme with nonuniform rectangular meshes for nonlinear parabolic system. Acta Math. Appl. Sin. Engl. Ser. 25, 159–166 (2009). https://doi.org/10.1007/s10255-007-7046-1

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  • DOI: https://doi.org/10.1007/s10255-007-7046-1

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