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Convergence and stability of the finite difference scheme for nonlinear parabolic systems with time delay

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Abstract

In this article, a class of nonlinear evolution equations – reaction–diffusion equations with time delay – is studied. By combining the domain decomposition technique and the finite difference method, the results for the existence, convergence and the stability of the numerical solution are obtained in the case of subdomain overlap and when the time-space is completely discretized.

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Authors and Affiliations

  1. State Key Lab of Software Engineering, Wuhan University, Wuhan, 430072, P.R. China

    Qiming He & Lishan Kang

  2. Parallel Algorithms Research Centre, Loughborough University of Technology, Loughborough, Leicestershire, LE11 3TU, UK

    D.J. Evans

Authors
  1. Qiming He
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  2. Lishan Kang
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  3. D.J. Evans
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He, Q., Kang, L. & Evans, D. Convergence and stability of the finite difference scheme for nonlinear parabolic systems with time delay. Numerical Algorithms 16, 129–153 (1997). https://doi.org/10.1023/A:1019130928606

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  • DOI: https://doi.org/10.1023/A:1019130928606

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