具有初始跳跃的双曲型方程奇异摄动问题的数值解法

苏煜城; 林平

具有初始跳跃的双曲型方程奇异摄动问题的数值解法

苏煜城,
林平

南京大学数学系

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出版历程
- 收稿日期: 1989-06-04
- 刊出日期: 1990-08-15

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

Nanjing University, Nanjing

摘要

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.

Abstract: 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.

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参考文献(13)

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