A meshless method for two-dimensional diffusion equation with an integral condition

被引：44

作者：

Abbasbandy, S. ^{[1
]}

Shirzadi, A. ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 34149, Iran

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2010年 / 34卷 / 12期

关键词：

MLPG method; Meshless collocation methods; Heat equation; Numerical integration procedures; Parabolic partial differential equations; GALERKIN MLPG METHOD; FINITE-ELEMENT; LBIE METHOD; COMPUTATIONAL MECHANICS; SCHRODINGER-EQUATION; BOUNDARY-CONDITIONS; NUMERICAL-SOLUTION; INVERSE PROBLEM; HEAT-EQUATION; IMPLEMENTATION;

D O I：

10.1016/j.enganabound.2010.07.002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a new approach based on the meshless local Petrov-Galerkin (MLPG) and collocation methods to treat the parabolic partial differential equations with non-classical boundary conditions. In the presented method, the MLPG method is applied to the interior nodes while the meshless collocation method is applied to the nodes on the boundaries, and so the Dirichlet boundary condition is imposed directly. To treat the complicated integral boundary condition appearing in the problem, Simpson's composite numerical integration rule is applied. A time stepping scheme is employed to approximate the time derivative. Finally, two numerical examples are presented showing the behavior of the solution and the efficiency of the proposed method. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1031 / 1037

页数：7

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