Numerical Algorithms

, 16:129

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

  • Qiming He
  • Lishan Kang
  • D.J. Evans
Article

DOI: 10.1023/A:1019130928606

Cite this article as:
He, Q., Kang, L. & Evans, D. Numerical Algorithms (1997) 16: 129. doi:10.1023/A:1019130928606

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.

65M06 65M55 65M12 

Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Qiming He
    • 1
  • Lishan Kang
    • 1
  • D.J. Evans
    • 2
  1. 1.State Key Lab of Software EngineeringWuhan UniversityP.R. China
  2. 2.Parallel Algorithms Research CentreLoughborough University of TechnologyLoughborough, LeicestershireUK