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Volume 23, Issue 4
Iterative Methods for the Forward-Backward Heat Equation

Xiao-Liang Cheng & Jie Sun

J. Comp. Math., 23 (2005), pp. 419-424.

Published online: 2005-08

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  • Abstract

In this paper we propose the finite difference method for the forward-backward heat equation. We use a coarse-mesh second-order central difference scheme at the middle line mesh points and derive the error estimate. Then we discuss the iterative method based on the domain decomposition for our scheme and derive the bounds for the rates of convergence. Finally we present some numerical experiments to support our analysis.

  • Keywords

Forward-backward heat equation, Finite difference method, Iterative method, Coarse mesh.

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COPYRIGHT: © Global Science Press

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@Article{JCM-23-419, author = {Xiao-Liang Cheng and Jie Sun}, title = {Iterative Methods for the Forward-Backward Heat Equation}, journal = {Journal of Computational Mathematics}, year = {2005}, volume = {23}, number = {4}, pages = {419--424}, abstract = {

In this paper we propose the finite difference method for the forward-backward heat equation. We use a coarse-mesh second-order central difference scheme at the middle line mesh points and derive the error estimate. Then we discuss the iterative method based on the domain decomposition for our scheme and derive the bounds for the rates of convergence. Finally we present some numerical experiments to support our analysis.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8828.html} }
TY - JOUR T1 - Iterative Methods for the Forward-Backward Heat Equation AU - Xiao-Liang Cheng & Jie Sun JO - Journal of Computational Mathematics VL - 4 SP - 419 EP - 424 PY - 2005 DA - 2005/08 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8828.html KW - Forward-backward heat equation, Finite difference method, Iterative method, Coarse mesh. AB -

In this paper we propose the finite difference method for the forward-backward heat equation. We use a coarse-mesh second-order central difference scheme at the middle line mesh points and derive the error estimate. Then we discuss the iterative method based on the domain decomposition for our scheme and derive the bounds for the rates of convergence. Finally we present some numerical experiments to support our analysis.

Xiao-Liang Cheng and Jie Sun. (2005). Iterative Methods for the Forward-Backward Heat Equation. Journal of Computational Mathematics. 23 (4). 419-424. doi:
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