微分求积区域分裂法求解二维奇异摄动问题  

DIFFERENTIAL QUADRATURE DOMAIN DECOMPOSITION METHOD FOR 2-D SINGULAR PERTURBATION PROBLEMS

作　　者：刘书亭[1] 吴雄华[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《数值计算与计算机应用》2007年第3期188-197,共10页Journal on Numerical Methods and Computer Applications

基　　金：中国国家自然科学基金(NO.10671146 NO.50678122)资助项目

摘　　要：本文应用微分求积法结合区域分裂法求解二维奇异摄动问题,数值实验表明,该方法简单易行,计算量少,精确度高.并且微分求积法结合区域分裂法把大型计算化成若干小型计算,避免了微分求积法导出的矩阵不是稀疏矩阵对大型计算不利的缺点.In this paper,the differential quadrature domain decomposition method is applied for 2-D convection-diffusion problems.The numerical tests show that this method leads to high-order accuracy at a cost of relatively small computation effort.Furthermore differential quadrature domain decomposition method solves the partial differential equation on several subdomain instead of on the whole domain which reduces the computation cost greatly.

关 键 词：微分求积法 区域分裂法 奇异摄动 对流扩散方程 

分 类 号：O241[理学—计算数学]