Numerical Solution for Fractional Order Space-Time Burger's Equation Using Legendre Wavelet - Chebyshev Wavelet Spectral Collocation Method

Authors

  • Osama H Mohammed Department of Mathematics and Computer Applications, College of Science, Al-Nahrian University, Baghdad-Iraq
  • Mohammed G. S AL-Safi Accounting Department, Al-Esra'a University College, Baghdad-Iraq.
  • Ahmed Ayyoub Yousif Department of Mathematics and Computer Applications, College of Science, Al-Nahrian University, Baghdad-Iraq.

Keywords:

Fractional Burger's equation, Legendre wavelet-Chebyshev wavelet, spectral collocation method

Abstract

In this article, a Legendre wavelet- Chebyshev wavelet spectral collocation method is proposed for solving fractional order space-time Burger's equation with the Legendre wavelet and Chebyshev wavelet operational matrices of fractional derivatives. The fractional derivative is described in the Caputo sense. The proposed method is based on Legendre wavelet-Chebyshev wavelet for space and time variables respectively. This method will reduc the problem under consideration to the solution of nonlinear algebraic equations. In order to confirm the efficiency of the proposed method, two numerical examples are implemented and comparing the numerical solution with the exact one, as well as, of other methods in given literatures, we demonstrate the high accuracy and efficiency of the proposed method.

Published

2018-03-01

Issue

Section

Articles

How to Cite

(1)
Numerical Solution for Fractional Order Space-Time Burger’s Equation Using Legendre Wavelet - Chebyshev Wavelet Spectral Collocation Method. ANJS 2018, 21 (1), 121-127.

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