非线性Volterra-Fredholm积分方程解的分段常数界

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2012-08-28 DOI:10.1590/S1807-03022012000200005

S. Yazdani, M. Hadizadeh

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引用次数: 3

摘要

本文计算了混合非线性Volterra-Fredholm积分方程解的分段常数界。封闭是在考虑到所有舍入和截断误差的情况下保证包含精确解的区间形式，因此区间解的宽度允许我们控制误差估计。给出了一种提高初始围合精度的迭代算法，并对其收敛性进行了研究。数值实验表明，与经典方法相比，区间解的精度是合理的，所得到的条件和初始围合是不受限制的。数学学科分类:65G20、45G10、65G40。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Piecewise constant bounds for the solution of nonlinear Volterra-Fredholm integral equations

In this paper, we compute piecewise constant bounds on the solution of mixed nonlinear Volterra-Fredholm integral equations. The enclosures are in the form of intervals which are guaranteed to contain the exact solution considering all round-off and truncation errors, so the width of interval solutions allows us to control the error estimation. An iterative algorithm to improve the accuracy of initial enclosures is given and its convergence are also investigated. Our numerical experiments show that the precision of interval solutions are reasonable in comparison to the classical methods and the obtained conditions and initial enclosure of the proposed algorithm are not restrictive. Mathematical subject classification: 65G20, 45G10, 65G40.

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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.