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解扩散一对流方程的块方法及其稳定性
引用本文:陈德辉.解扩散一对流方程的块方法及其稳定性[J].上海师范大学学报(自然科学版),1990(2).
作者姓名:陈德辉
作者单位:华东师范大学数学系
摘    要:本文导出了一类解扩散-对流方程初边值问题有限差分解的块方法,证明它们是无条件稳定的或 L-稳定的。

关 键 词:扩散-对流方程  块方法  有限差分解  L-稳定性

Block Methods For A Diffusion-Convection Equation And Their Stability
CHEN DEHUI.Block Methods For A Diffusion-Convection Equation And Their Stability[J].Journal of Shanghai Normal University(Natural Sciences),1990(2).
Authors:CHEN DEHUI
Institution:Department of Mathematics
Abstract:Block methods for the finite difference Solution of one dimensional linear diffus- ion-convection equation are considered.No special starting porcedure is required for their implementation.All of the block methods derived in this paper are unco- nditionally stable or L-stable(L_0-stable)and have higher accuracy.
Keywords:block mothod  finite difference solution  diffusion-convection  equation  L-stability
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