High Order Parallel Iterative Method for Diffusion Equations

نویسنده

  • Bin Zheng
چکیده

In this paper, we consider the initial boundary value problems of 1D diffusion equations. Based on a high order absolutely stable implicit scheme, we first construct two saul’yev asymmetry iterative schemes, and then present a class of parallel alternating group explicit iterative method in two cases. By use of the iterative method, the computation in the whole domain can be divided into many sub domains. Convergence analysis for the iterative method is also given. At the end of the paper the results of numerical experiments are presented. Mathematics Subject Classification: 65M06, 74S20

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تاریخ انتشار 2009