Direct and iterative methods for the numerical solution of mixed integral equations

被引：17

作者：

Calio, F. ^{[1
]}

Fernandez Munoz, V. ^{[2
]}

Marchetti, E. ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 12期

关键词：

Volterra-Fredholm equations; Collocation methods; Fixed point methods; Spline; Schauder bases; SCHAUDER BASES; SPLINES;

D O I：

10.1016/j.amc.2010.05.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyze and compare two classical methods to solve Volterra-Fredholm integral equations. The first is a collocation method; the second one is a fixed point method. Both of them are proposed on a particular class of approximating functions. Precisely the first method is based on a linear spline class approximation and the second one on Schauder linear basis. We analyze some problems of convergence and we propose some remarks about the peculiarities and adaptability of both methods. Numerical results complete the work. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3739 / 3746

页数：8

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