| 二维非线性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.二维非线性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),1995(3):275-284. |
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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非线性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： | 非线性 积分方程 数值解 渐近展开 伏特拉 |
ASYMPTOTIC EXPANSION AND EXTRAPOLATION FOR THE NYSTR M METHOD OF TWO-DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATIONS |
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| Han Guoqiang.ASYMPTOTIC EXPANSION AND EXTRAPOLATION FOR THE NYSTR M METHOD OF TWO-DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATIONS[J].Applied Mathematics A Journal of Chinese Universities,1995(3):275-284. |
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| Authors: | Han Guoqiang |
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| Abstract: | In this paper,the asymptotic expansion for numerical solution of two-dimensional nonlinear Volterra integral equations by the trapezoidal Nystrom method is considered.We show that the trapezoidal Nystrom solution admits an error expansion in even powers of the step-sizes h and k, beginning with terms in h2 and k2. So that the Richardson's extrapolation can be done.This will increase the accuracy of numerical solution greatly. |
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| Keywords: | Two-Dimensional Nonlinear Volterra Integral Equation Nystrom Method Asymptotic Expansion Richardson Extrapolation |
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