在非均匀网格上解椭圆—双曲型偏微分方程奇异摄动问题  

Numerical Solution of a Singularly Perturbed Elliptic Hyperbolic Partial Differential Equation on a Nonuniform Discretization Mesh

作　　者：吴启光[1] 孙晓弟 

机构地区：[1]南京大学数学系

出　　处：《应用数学和力学》1992年第12期1037-1044,共8页Applied Mathematics and Mechanics

摘　　要：本文考察了椭圆一双曲型偏微分方程奇异摄动问题(1.1),证明了迎风差分格式在一特殊的非均匀网格上是一阶一致收敛的.最后给出了一些数值结果.In this paper, we consider the upwind difference scheme for singular perturbation problem (1.1). On a special discretization mesh, it is proved that the solution of upwind difference scheme is first order convergent, uniformly in the small parameter e, to the solution of problem (1.1). Numerical results are finally provided.

关 键 词：偏微分方程 非均匀网格 奇摄动 

分 类 号：O175.2[理学—数学]