General Difference Schemes with Intrinsic Parallelism for Semilinear Parabolic Systems of Divergence Type
Year: 1999
Author: Yu-Lin Zhou, Guang-Wei Yuan
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 4 : pp. 337–352
Abstract
In this paper the general finite difference schemes with intrinsic parallelism for the boundary value problem of the semilinear parabolic system of divergence type with bounded coefficients are constructed, and the existence and uniqueness of the difference solution for the general schemes are proved. And the convergence of the solutions of the difference schemes to the generalized solution of the original boundary value problem of the semilinear parabolic system is obtained. The multi-dimensional problems are also studied.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9107
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 4 : pp. 337–352
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Difference scheme Intrinsic parallelism Semilinear parabolic system Convergence.