PARAMETER-UNIFORM FINITE DIFFERENCE SCHEME FOR A SYSTEM OF COUPLED SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS  

作　　者：CEN Zhongdi 

机构地区：[1]Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100, China.

出　　处：《Journal of Systems Science & Complexity》2005年第4期498-510,共13页系统科学与复杂性学报（英文版）

基　　金：This research is supported by the National Natural Science Foundation of China(Grant No. 10301029, 10241003).

摘　　要：A coupled system of singularly perturbed convection-diffusion equations is considered. The leading term of each equation is multiplied by a small positive parameter, but these parameters may have different magnitudes. The solutions to the system have boundary layers that overlap and interact. The structure of these layers is analyzed, and this leads to the construction of a piecewise-uniform mesh that is a variant of the usual Shishkin mesh. On this mesh an upwind difference scheme is proved to be almost first- order accurate, uniformly in both small parameters. We present the results of numerical experiments to confirm our theoretical results.

关 键 词：CONVECTION-DIFFUSION singular perturbation solution decomposition Shishkinmesh upwind finite difference scheme. 

分 类 号：O175[理学—数学]