期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2015
卷号：05
期号：03
页码：274-282
DOI：10.4236/ajcm.2015.53025
语种：English
出版社：Scientific Research Publishing
摘要：The finite difference method such as alternating group iterative methods is useful in numerical method for evolutionary equations and this is the standard approach taken in this paper. Alternating group explicit (AGE) iterative methods for one-dimensional convection diffusion equations problems are given. The stability and convergence are analyzed by the linear method. Numerical results of the model problem are taken. Known test problems have been studied to demonstrate the accuracy of the method. Numerical results show that the behavior of the method with emphasis on treatment of boundary conditions is valuable.
关键词：One-Dimensional Advection-Diffusion Equations;Alternating Group Explicit Iterative Methods;Stability;Convergence;Finite Difference Method
