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2009年03月06日

【期刊论文】A CLASS OF AL TERNATING GROUP METHOD OF BURGERS’EQUATION X

王文洽

Allied Mathematics and Mechanics, 2004, 25 (2): 236-444，-0001，（）：

-1年11月30日

Some new Saul'yev type asymmetric difference schemes for Burgers'equation is given, by the use of the schemes, a kind of alternating group four points method for solving nonlinear Burgers'equation is constructed here. The basic idea of the method is that the grid points on the same time level is divided into a number of groups, the difference equations of each group can be solved independently, hence the method with intrinsic parallelism can be used directly on parallel computer. The method is unconditionally stable by analysis of linearization procedure. The numerical experiments show that the method has good stability and accuracy.

Burgers'， equation， Saul'， yev type asymmetric difference scheme， alternating group four points scheme， linear unconditional stability， parallel computation

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2009年03月06日

【期刊论文】THE AL TERNATING S EGMENT CRAN K-NICOLSON METHOD FOR SOLVING CONVECTION-DI FFUSION EQUATION WI TH VARIABL E COEFFICI ENT X

王文洽， WANG Wen-qia

Allied Mathematics and Mechanics, 2003, 24 (1): 32-42，-0001，（）：

-1年11月30日

摘要

A new discrete approximation to the convection term of the covection-diffusion equation was constructed in Saul'yev type difference scheme, then the alternating segment Crank-Nicolson (ASC-N) method for solving the convection- diffusion equation with variable coefficient was developed. The ASC-N method is unconditionally stable. Numerical experiment shows that this method has the obvious property of parallelism and accuracy. The method can be used directly on parallel computers.

convection- diffusion equation， alternating segment method， Crank-Nicolson scheme， asymmetries difference scheme， unconditionally stable， parallel computing

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2009年03月06日

【期刊论文】对流扩散方程修正的交替分组四点方法*

王文洽

高等学校计算数学学报，2005，27（1）：28～33，-0001，（）：

-1年11月30日

摘要

A modified alternating group methods of four points for solving the convection-diffusion equation is presented here. The method is not only unconditionally stable but also has the advantages of parallel computing. Numerical experiments show that the method is of high accuracy.

convection-diffusion equation,， group scheme of four points,， unconditionally stable,， parallel computing.，