四阶常微分方程奇异摄动问题的二阶精度差分解法 |
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引用本文: | 王国英,陈明伦. 四阶常微分方程奇异摄动问题的二阶精度差分解法[J]. 应用数学和力学, 1990, 11(5): 431-437 |
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作者姓名: | 王国英 陈明伦 |
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作者单位: | 1.南京大学; |
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摘 要: | 本文对一类四阶常微分方程边值问题建立了二阶一致精度的差分格式.本格式对步长h具有O(h2)阶的精度,大大改进了[1]的结果.
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收稿时间: | 1989-06-03 |
Second-Order Accurate Difference Method for the Singularly Perturbed Problem of Fourth-Order Ordinary Differential Equations |
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Affiliation: | 1.Nanjing University, Nanjing;2.Chongqing Jiaotong Institute, Chongqing |
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Abstract: | In this paper, we construct a uniform second-order difference scheme for a class of boundary value problems of fourth-order ordinary differential equations. Finally, a numerical example is given. |
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