Numerical algorithms for diffusion–reaction problems with non-classical conditions
作者:
Highlights:
•
摘要
Parabolic equations with nonlocal boundary conditions have been given considerable attention in recent years. In this paper new high-order algorithms for the linear diffusion–reaction problem are derived. The convergence of the new schemes is studied and numerical examples are given to show the efficiency of the new methods to solve linear and nonlinear diffusion–reaction equations with these non classical conditions.
论文关键词:Non-classic boundary value problems,Explicit technique,Convergence,Numerical examples,Diffusion–reaction problem
论文评审过程:Available online 30 November 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2011.11.037