右函数奇异的超奇异积分方程数值解的一种新的配置方法

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Mathematical Physics Pub Date : 2023-03-20 DOI:10.1155/2023/5845263

M. R. Elahi, Y. Mahmoudi, A. Salimi Shamloo, M. Jahangiri Rad

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引用次数: 2

摘要

本文求解了在- 1,1区间上具有奇异右函数的第一类Fredholm超奇异积分方程。在- 1,1域上的不连续解用分段多项式逼近，并引入了一种配点法来求未知系数。这种方法既适用于线性积分方程，也适用于非线性积分方程，非常简单直接。与文献中的其他方法相比，所提供的插图表明结果非常准确。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right-Hand Function

In this study, the Fredholm hypersingular integral equation of the first kind with a singular right-hand function on the interval − 1 , 1 is solved. The discontinuous solution on the domain − 1 , 1 is approximated by a piecewise polynomial, and a collocation method is introduced to evaluate the unknown coefficients. This method, which can be applied to both linear and nonlinear integral equations, is very simple and straightforward. The presented illustrations relate that the results are very accurate compared to the other methods in the literature.

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来源期刊

Advances in Mathematical Physics 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

151

审稿时长

>12 weeks

期刊介绍： Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.