| 二维Volterra积分方程数值解的渐近展开及其外推 |
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| 引用本文： | 韩国强.二维Volterra积分方程数值解的渐近展开及其外推[J].高校应用数学学报(A辑),1994(1):30-36. |
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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： | 本文讨论了求解二维Ｖｏｌｔｅｒｒａ积分方程的Ｎｙｓｔｒｏｍ方法，得到了数值解的逐项渐近展开，从而可进行Ｒｉｃｈａｒｄｓｏｎ外推，提高数值解的精度。
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| 关 键 词： | 积分方程 数值解 渐近展示 伏特拉 |
ASYMPTOTIC EXPANSION OF THE NYSTROM METHOD FOR TWO-DIMENSIONAL VOLTERRA INTEGRAL EQUATION |
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| Han Guoqiang.ASYMPTOTIC EXPANSION OF THE NYSTROM METHOD FOR TWO-DIMENSIONAL VOLTERRA INTEGRAL EQUATION[J].Applied Mathematics A Journal of Chinese Universities,1994(1):30-36. |
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| Authors: | Han Guoqiang |
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| Abstract: | In this paper,the Nystrom method for two-dimensional Volterra integral equation of the second Rind is considered.We show that the Nystrom solution admits an error expansion in even powers of the step-size h and step-size k,beginning with a term in h2 and k2.By using this asymptotic expression,Richardson extrapolation can be done and the accuracy of numerical solution can be improved. |
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| Keywords: | Two-dimensional Volterra Integral Equation Numerical Solution Asymptotic Expansion Richardson Extrapolation |
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