ON THE CONVERGENCE OF THE MFS–MPS SCHEME FOR 1D POISSON'S EQUATION-Reference-Cited by-同舟云学术

ON THE CONVERGENCE OF THE MFS–MPS SCHEME FOR 1D POISSON'S EQUATION

Published:2013-03 Issue:02 Volume:10 Page:1341006
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

CHEN C. S.¹²,HUANG C.-S.³,LIN K. H.³

Affiliation:

1. School of Mathematics, Taiyuan University of Technology, China

2. Department of Mathematics, University of Southern Mississippi, Hattiesburg, MS 39406, USA

3. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan

Abstract

The method of fundamental solutions (MFS) has been an effective meshless method for solving homogeneous partial differential equations. Coupled with radial basis functions (RBFs), the MFS has been extended to solve the inhomogeneous problems through the evaluation of the approximate particular solution and homogeneous solution. In this paper, we prove the the approximate solution of the above numerical process for solving 1D Poisson's equation converges in the sense of Lagrange interpolating polynomial using the result of Driscoll and Fornberg [2002].

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876213410065

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5. Equivalence between the Trefftz method and the method of fundamental solution for the annular Green's function using the addition theorem and image concept

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