Convergence of Iterative Difference Schemes for Two and Three Dimensional Nonlinear Parabolic Systems
Year: 1997
Journal of Partial Differential Equations, Vol. 10 (1997), Iss. 3 : pp. 257–274
Abstract
In this paper, we study the general difference schemes of the boundary value problem for the nonlinear parabolic systems with two and three space dimensions. To solve the nonlinear difference schemes, we construct an iterative sequence from the solutions or the linearized difference schemes. We shall prove the convergence of the difference solutions for the iterative difference schemes to the solution of the original boundary value problem or the nonlinear parabolic systems.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1997-JPDE-5596
Journal of Partial Differential Equations, Vol. 10 (1997), Iss. 3 : pp. 257–274
Published online: 1997-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Difference scheme