A meshless method for numerical solution of the one-dimensional wave equation with an integral condition using radial basis functions

2009 ◽  
Vol 52 (3) ◽  
pp. 461-477 ◽  
Author(s):  
Mehdi Dehghan ◽  
Ali Shokri
Keyword(s):  
Wave Equation ◽  
Numerical Solution ◽  
Radial Basis Functions ◽  
Meshless Method ◽  
Integral Condition ◽  
Basis Functions ◽  
One Dimensional ◽  
Radial Basis ◽  
The One ◽  
Dimensional Wave

scholarly journals Taylor's Meshless Petrov-Galerkin Method for the Numerical Solution of Burger's Equation by Radial Basis Functions

2012 ◽  
Vol 2012 ◽  
pp. 1-15
Author(s):  
Maryam Sarboland ◽  
Azim Aminataei
Keyword(s):  
Galerkin Method ◽  
Numerical Solution ◽  
Radial Basis Functions ◽  
Taylor Series Expansion ◽  
Time Discretization ◽  
Basis Functions ◽  
One Dimensional ◽  
Radial Basis ◽  
The One ◽  
Rms Errors

During the last two decades, there has been a considerable interest in developing efficient radial basis functions (RBFs) algorithms for solving partial differential equations (PDEs). In this paper, we introduce the Petrov-Galerkin method for the numerical solution of the one-dimensional nonlinear Burger equation. In this method, the trial space is generated by the multiquadric (MQ) RBF and the test space is generated by the compactly supported RBF. In the time discretization of the equation, the Taylor series expansion is used. This method is applied on some test experiments, and the numerical results have been compared with the exact solutions. The , , and root-mean-square (RMS) errors in the solutions show the efficiency and the accuracy of the method.

Sign in / Sign up

Export Citation Format

Share Document