Convergence and stability of the finite difference scheme for nonlinear parabolic systems with time delay |
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Authors: | He Qiming Kang Lishan Evans D.J. |
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Affiliation: | (1) State Key Lab of Software Engineering, Wuhan University, Wuhan, 430072, P.R. China;(2) Parallel Algorithms Research Centre, Loughborough University of Technology, Loughborough, Leicestershire, LE11 3TU, UK |
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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. This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | 65M06 65M55 65M12 |
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