| 一类奇异方程两点边值问题的差分—样条校正解 |
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| 引用本文： | 韩国强.一类奇异方程两点边值问题的差分—样条校正解[J].计算数学,1991,13(2):187-192. |
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| 作者姓名： | 韩国强 |
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| 作者单位： | 华南理工大学计算机科学系 |
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| 摘 要： | 本文考虑一类奇异方程两点边值问题的差分解和样条数值解法,证明了差分解,样条解分别从两侧逼近精确解,从而得到高精度的差分-样条校正解. 考虑如下形式的奇异边值问题:
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| 关 键 词： | 奇异方程 差分 样条解 高精度 |
CORRECT SOLUTION OF THE FINITE DIFFERENCE AND THE SPLINE FUNCTION FOR A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS |
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| Institution: | Han Guo-qiang Department of Computer Science, South China University of Technology |
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| Abstract: | In this paper, numerical methods of the finite difference and the spline function fora class of singular two-point boundary value problems are considered. One-sided approxima-tion by these methods is found. So, correct solution of high order accuracy for a class of singu-lar two-point boundary value problems is obtained. Some numerical examples are given in il-lustration of this theory |
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