具有初始跳跃的双曲型方程奇异摄动问题的数值解法 |
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引用本文: | 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[J]. 应用数学和力学, 1990, 11(8): 665-670 |
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作者姓名: | 苏煜城 林平 |
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作者单位: | 南京大学数学系 |
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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.
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收稿时间: | 1989-06-04 |
Numerical Solution of the Singularly Perturbed Problem for the Hyperbolic Equation with Initial Jump |
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Affiliation: | Nanjing University, Nanjing |
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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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