Extrapolation method of iterated collocation solution for two-dimensional nonlinear Volterra integral equations

被引：1

作者：

Han, GQ

Hayami, K

Sugihara, K

Wang, J

机构：

[1] Univ Tokyo, Dept Engn Math, Bunkyo Ku, Tokyo 1138656, Japan

[2] S China Univ Technol, Dept Comp Sci, Guangzhou, Guangdong Prov, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2000年 / 112卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the numerical solution of two-dimensional nonlinear Volterra integral equation by collocation and iterated collocation method. Asymptotic error expansion of iterated collocation solution is obtained. Using Richardson's extrapolation, we show that the accuracy of numerical solution in the iterated collocation method can be improved greatly. Some numerical examples are given to illustrate this theory. (C) 2000 Elsevier Science Inc. All rights reserved.

引用

页码：49 / 61

页数：13

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