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

ISRN Applied Mathematics

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

Mathematics

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