Convergence of Iterative Difference Schemes for Two and Three Dimensional Nonlinear Parabolic Systems

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Volume 10, Issue 3

Yulin Zhou , Longjun Shen & Guangwei Yuan

J. Part. Diff. Eq., 10 (1997), pp. 257-274.

Published online: 1997-10

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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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Difference scheme two and three dimensional nonlinear parabolic systems iteration

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@Article{JPDE-10-257, author = {Yulin Zhou , Longjun Shen and Guangwei Yuan }, title = {Convergence of Iterative Difference Schemes for Two and Three Dimensional Nonlinear Parabolic Systems}, journal = {Journal of Partial Differential Equations}, year = {1997}, volume = {10}, number = {3}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5596.html} }

TY - JOUR T1 - Convergence of Iterative Difference Schemes for Two and Three Dimensional Nonlinear Parabolic Systems AU - Yulin Zhou , Longjun Shen & Guangwei Yuan JO - Journal of Partial Differential Equations VL - 3 SP - 257 EP - 274 PY - 1997 DA - 1997/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5596.html KW - Difference scheme KW - two and three dimensional nonlinear parabolic systems KW - iteration AB - 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.

Yulin Zhou , Longjun Shen and Guangwei Yuan . (1997). Convergence of Iterative Difference Schemes for Two and Three Dimensional Nonlinear Parabolic Systems. Journal of Partial Differential Equations. 10 (3). 257-274. doi:

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