Moving least squares and gauss legendre for solving the integral equations of the second kind

被引：0

作者：

El Jid, R. ^{[1
]}

机构：

[1] Department of Mathematics and Computing Sciences, Faculty of Sciences and Technology, University Hassan I, Settat, Morocco

来源：

IAENG International Journal of Applied Mathematics | 2019年 / 49卷 / 01期

关键词：

Numerical methods - Least squares approximations;

D O I：

暂无

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摘要：

This article investigates the numerical solution of the integral equations of Fredholm and Voltera in dimension one and two. The numerical scheme developed is based on the moving least squares method. The moving least squares methodology is an effective technique for the approximation of an unknown function by using a set of disordered data. It consists of a local weighted least square fitting, valid on a small neighborhood of a point and only based on the information provided by its N closet points. Hence the method is a meshless method and does not need any background mesh or cell structures. The error analysis of the proposed method is provided. The validity and efficiency of the method are demonstrated through several tests, and through a comparison with a finite elements method. © 2019, International Association of Engineers.

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