ITERATIVE METHODS FOR THE FORWARD-BACKWARD HEAT EQUATION |
| |
| Authors: | Xiao-liang Cheng Jie Sun |
| |
| 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 |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
