| 第二类Volterra积分方程迭代配置解的渐近展开 |
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| 引用本文： | 韩国强.第二类Volterra积分方程迭代配置解的渐近展开[J].华南理工大学学报(自然科学版),1994,22(2):74-80. |
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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工程与科学系 |
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| 摘 要： | 讨论了第二类Ｖｏｌｔｅｒｒａ积分方程迭代配置法；证明了当使用分片ｐ—１次多项式进行配置时，迭代配置解可展开为步长ｈ的偶次幂，且首项为ｈ２Ｐ。利用这个渐近展式，可进行Ｒｉｃｈａｒｄｓｏｎ外推，提高逼近解的精度．
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| 关 键 词： | 伏特拉 积分方程 数值解 迭代配置 |
ASYMPTOTIC EXPANSION OF ITERATED COLLOCATION SOLUTION FOR THE VOLTERRA INTEGRAL EQUATION OF SECOND KIND |
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| Han Guoqiang.ASYMPTOTIC EXPANSION OF ITERATED COLLOCATION SOLUTION FOR THE VOLTERRA INTEGRAL EQUATION OF SECOND KIND[J].Journal of South China University of Technology(Natural Science Edition),1994,22(2):74-80. |
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| Authors: | Han Guoqiang |
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| Abstract: | In this paper,numerical method of the iterated collocation for theVolterra integral equation of the second kind is considered.We show that whenpiecewise polynomials of degree p-1 are used, the iterated collocation solutionadmits an error expansion in even powers of the step -size h,beginning witha term in h2p By using this asymptotic expression,Richardson's extrapolationcan be done and the accuracy of numerical solution can also be improved. |
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| Keywords: | s:Volterra integral equations numerical solutions asymptotic expansion/iterated collocation methods |
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