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 - <p style="text-align: justify;">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.</p>