عنوان المقالة: Numerical Solution for Fractional Order Space-Time Burger's Equation Using Legendre Wavelet - Chebyshev Wavelet Spectral Collocation Method
أ.م.د. محمد غازي صبري الصافي | Assist. Prof. Dr. Mohammed Ghazi Sabri Al-Safiِِِ | 3342
- نوع النشر
- مجلة علمية
- المؤلفون بالعربي
- اسامة حميد محمد، محمد غازي صبري الصافي، احمد ايوب يوسف
- المؤلفون بالإنجليزي
- Osama H. Mohammed, Mohammed G. S. AL-Safi، Ahmed Ayyoub Yousif
- الملخص الانجليزي
- 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.
- تاريخ النشر
- 01/03/2018
- الناشر
- Journal of Al-Nahrain University
- رقم المجلد
- 21
- رقم العدد
- 1
- رابط DOI
- DOI: 10.22401/JUNS.21.1.19
- الصفحات
- 121-127
- الكلمات المفتاحية
- Fractional Burger's equation, Legendre wavelet-Chebyshev wavelet, spectral collocation method.