Taylor's Meshless Petrov-Galerkin Method for the Numerical Solution of Burger's Equation by Radial Basis Functions
Joint Authors
Sarboland, Maryam
Aminataei, Azim
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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 L2, L∞, and root-mean-square (RMS) errors in the solutions show the efficiency and the accuracy of the method.
American Psychological Association (APA)
Sarboland, Maryam& Aminataei, Azim. 2012. Taylor's Meshless Petrov-Galerkin Method for the Numerical Solution of Burger's Equation by Radial Basis Functions. ISRN Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-457726
Modern Language Association (MLA)
Sarboland, Maryam& Aminataei, Azim. Taylor's Meshless Petrov-Galerkin Method for the Numerical Solution of Burger's Equation by Radial Basis Functions. ISRN Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-457726
American Medical Association (AMA)
Sarboland, Maryam& Aminataei, Azim. Taylor's Meshless Petrov-Galerkin Method for the Numerical Solution of Burger's Equation by Radial Basis Functions. ISRN Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-457726
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457726