Volume no :1, Issue no: 2, August 2008

Journal of Mathematical Sciences: Advances and Applications

SOLVING PARTIAL DIFFERENTIAL EQUATIONS BY MESHLESS PETROV-GALERKIN METHOD COMBINED WITH RADIAL BASIS FUNCTIONS AND LAGRANGE POLYNOMIALS

Author's: M. SARBOLAND and A. AMINATAEI
Pages: [291] - [298]
Received Date: April 27, 2008
Submitted by:

Abstract

In this paper, we introduce a new meshless method for the numerical solution of partial differential equations. It is based on the Petrov-Galerkin method, in which the trial space is generated by the global radial basis functions, and the test space is generated by the Lagrange polynomials. This method of solution is also based on the unsymmetric weak formulation.

Keywords

partial differential equations, Petrov-Galerkin method, global radial basis functions, Lagrange polynomials, unsymmetric weak formulation.