拟线性抛物型方程奇异摄动问题的数值解法  

The Numerical Solution of a Singularly Perturbed Problem for Quasilinear Parabolic Differential Equation

作　　者：苏煜城[1] 沈全[1] 

机构地区：[1]南京大学数学系

出　　处：《应用数学和力学》1992年第6期479-488,共10页Applied Mathematics and Mechanics

摘　　要：本文讨论拟线性抛物型方程奇异摄动问题的差分解法,在非均匀网格上建立了线性三层差分格式,并证明了在离散的L_2范数意义下格式的一致收敛性,最后给出了一些数值例子.We consider the numerical solution of a singularly perturbed problem for the quasilinear parabolic differentia] equation. We construct a linear three-level finite difference scheme on a nonuniform grid. The uniform convergence in the sense of discrete L2 norm is proved and numerical examples are presented.

关 键 词：拟线性 抛物型方程 奇异摄动 

分 类 号：O175.26[理学—数学]