- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
Numerical Solution for Fractional Order Space-Time Burger's Equation Using Legendre Wavelet - Chebyshev Wavelet Spectral Collocation Method | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 21, Issue 1, 2018, Pages 121-127 | ||
| Authors | ||
| Osama H. Mohammed; Mohammed G. S. AL-Safi; Ahmed Ayyoub Yousif | ||
| 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. | ||
| Keywords | ||
| Fractional Burger; Legendre wavelet; Chebyshev wavelet; spectral collocation method | ||
|
Statistics Article View: 183 PDF Download: 107 |
||