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

Xiao-Liang Cheng & Jie Sun

DOI:

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

Published online: 2005-08

Preview Full PDF 101 1703
Export citation

Cited by

google scholar semantic scholar
  • 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

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-23-419, author = {}, 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 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 KW - Finite difference method KW - Iterative method KW - 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 & Jie Sun. (1970). Iterative Methods for the Forward-Backward Heat Equation. Journal of Computational Mathematics. 23 (4). 419-424. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard