| 带有小参数的二阶双曲型方程混合问题的差分解法 |
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| 引用本文： | 王国英. 带有小参数的二阶双曲型方程混合问题的差分解法[J]. 计算数学, 1989, 11(3): 248-256 |
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| 作者姓名： | 王国英 |
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| 作者单位： | 南京大学 |
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| 摘 要： | 考虑带有两个小参数的二阶常系数双曲型方程的混合问题:
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| 关 键 词： | 二阶双曲方程 混合问题 差分法 |
THE DIFFERENCE METHODS FOR SOLVING MIXED PROBLEMS OF THE SECOND-ORDER HYPERBOLIC EQUATION WITH SMALL PARAMETERS |
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| Affiliation: | Wang Guo-ying Department of Mathematics. Nanjing University |
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| Abstract: | By means of singular perturbation theory a difference scheme is constructed for a mixedproblem of the second order singularly perturbed equation of hyperbolic type. An energy ine-quality of the numerical solution is given and the numerical solution is proved to converge tothe solution of the singular perturbation problems uniformly with respect to the small para-meters in the sense of a discrete norm. |
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