利用径向基函数求解非矩形域上第二类Volterra-Fredholm型二维积分方程

IF 2.5 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2025-07-25 DOI:10.1016/j.camwa.2025.07.027

Mohsen Jalalian , Manochehr Kazemi , Mohammad Esmael Samei

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引用次数: 0

摘要

本文介绍了一种基于径向基函数的非矩形域二维非线性Volterra-Fredholm积分方程的数值求解方法。该方法不需要域内的背景网格或单元结构。在该方法中，所有的积分都使用高斯-勒让德积分公式进行估计。研究了该方法的误差分析和收敛速度。算例验证了该方法的有效性和有效性。

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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Solving the second kind Volterra-Fredholm type of two-dimensional integral equations on non-rectangular domains via radial basis functions

This research, introduces a method to solve two-dimensional nonlinear Volterra-Fredholm integral equations with non-rectangular domains, numerically, based on radial basis functions. The method doesn't need a background mesh or cell structure in the domain. In the approach, all of the integrals are estimated using Gauss-Legendre quadrature formula. Error analysis and the rate of convergence of this method are also investigated. Numerical examples are included to demonstrate the validity and efficiency of this method.

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).