Numerical Solution of Nonlinear Second Kind Two-Dimensional Volterra Integral Equations Using Extrapolation Methods

被引：0

作者：

Bazm, Sohrab ^{[1
]}

Lima, Pedro ^{[2
]}

机构：

[1] Tarbiat Moallem Univ, Fac Math Sci & Comp, Tehran, Iran

[2] Univ Tecn Lisboa, Inst Super Tecn, Dept Math, CEMAT, P-1049001 Lisbon, Portugal

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷

关键词：

Two-dimensional nonlinear Volterra integral equations; Euler method; Trapezoidal method; Richardson extrapolation;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the numerical solution of a class of two-dimensional nonlinear Volterra integral equations of the second kind. We start from the results of [I], where solutions of these equations were computed by the Euler and trapezoidal methods, in the linear case, and we extend these methods to nonlinear case. Then we use the Richardson extrapolation to improve the acuracy of the numerical results.

引用

页码：1195 / +

页数：2

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