The finite difference method such as alternating group iterative methods is useful in numerical\nmethod for evolutionary equations and this is the standard approach taken in this paper. Alternating\ngroup explicit (AGE) iterative methods for one-dimensional convection diffusion equations\nproblems are given. The stability and convergence are analyzed by the linear method. Numerical\nresults of the model problem are taken. Known test problems have been studied to demonstrate\nthe accuracy of the method. Numerical results show that the behavior of the method with emphasis\non treatment of boundary conditions is valuable.
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