Urysohn型Volterra积分方程组的Romberg正交分块法

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2012-04-13 DOI:10.1590/S1807-03022012000100010

R. Katani, S. Shahmorad

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引用次数: 9

摘要

本文提出了一种求解第一类和第二类线性和非线性积分方程组的有效数值方法，避免了对特殊起始值的需要。该方法还具有应用简单、至少有六阶收敛的优点。给出了收敛性分析，并通过数值算例说明了该方法的准确性。数学学科分类:65R20。

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A block by block method with Romberg quadrature for the system of Urysohn type Volterra integral equations

In this paper, we propose an efficient numerical method for solving systems of linear and nonlinear integral equations of the first and second kinds, which avoids the need for special starting values. The method has also the advantages of simplicity of application and at least six order of convergence. A convergence analysis is given and accuracy of the method is clarified by numerical examples. Mathematical subject classification: 65R20.

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来源期刊

Computational & Applied Mathematics Mathematics-Computational Mathematics

CiteScore

4.50

自引率

11.50%

发文量

352

审稿时长

>12 weeks

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.