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Alternating Group Explicit Iterative Methods for One-Dimensional Advection-Diffusion Equation
College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China
College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China
- 1 College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China
- 2 College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, China
American Journal of Computational Mathematics·Volume 05 (2015)·Pages 274–282·Published 20 August 2015·DOI10.4236/ajcm.2015.53025
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Abstract
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.
KeywordsOne-Dimensional Advection-Diffusion EquationsAlternating Group Explicit Iterative MethodsStabilityConvergenceFinite Difference Method
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