The numerical solution of the non-linear integro-differential equations based on the rneshless method

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Dehghan, Mehdi¹  Salehi, Rezvan¹ 

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran

关键词: Moving least square method;    Fredholm integro-differential equation;    Volterra integro-differential equation;    Error analysis;   

DOI  :  10.1016/j.cam.2011.11.022

来源: Elsevier

【 摘 要 】

This article investigates the numerical solution of the nonlinear integro-differential equations. The numerical scheme developed in the current paper is based on the moving least square method. The moving least square 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 new method are demonstrated through several tests. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free