Author(s)

Ning Chen, Haiming Gu^*

College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China.

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.

One-Dimensional Advection-Diffusion Equations, Alternating Group Explicit Iterative Methods, Stability, Convergence, Finite Difference Method

Chen, N. and Gu, H. (2015) Alternating Group Explicit Iterative Methods for One-Dimensional Advection-Diffusion Equation. American Journal of Computational Mathematics, 5, 274-282. doi: 10.4236/ajcm.2015.53025.