具有初始跳跃的双曲型方程奇异摄动问题的数值解法  

Numerical Solution of the Singularly Perturbed Problem for the Hyperbolic Equation with Initial Jump

作　　者：苏煜城[1] 林平[1] 

机构地区：[1]南京大学数学系

出　　处：《应用数学和力学》1990年第8期665-676,共12页Applied Mathematics and Mechanics

摘　　要：本文考虑具有初始跳跃的二阶双曲型方程初边值问题.首先给出解的导数估计.然后在一非均匀网格上构造了一个差分格式,最后在能量范数意义下证明了差分格式解的一致收敛性.In this paper we consider the initial-boundary value problem for a second order hyperbolic equation with initial jump. The bounds on .the derivatives of the exact solution are given. Then a difference scheme is constructed on a non-uniform grid. Finally, uniform convergence of the difference solution is proved in the sense of the discrete energy norm.

关 键 词：双曲型方程 奇异摄动 数值解法 

分 类 号：O241.82[理学—计算数学]