عنوان المقالة: Numerical solution for the time-fractional diffusion-wave equations by using sinc-Legendre collocation method
أ.م.د. محمد غازي صبري الصافي | Assist. Prof. Dr. Mohammed Ghazi Sabri Al-Safiِِِ | 2788
Publication Type
Journal
Arabic Authors
اسامة حميد محمد، فاضل صبحي فاضل، محمد غازي صبري الصافي
English Authors
Osama H. Mohammed , Fadhel S. F , Mohammed G. S. Al-safi
Abstract
In this paper the numerical solution of fractional diffusion wave equation is proposed. The fractional derivative will be in the Caputo sense. The proposed method will be based on shifted Legendre collocation scheme and sinc function approximation for time and space respectively. The problem is reduced to the problem into a system of algebraic equations after implementing this method. For demonstrating the validity and applicability of the proposed numerical scheme some examples are presented.
Publication Date
1/1/2015
Publisher
Mathematical Theory and Modeling
Volume No
5
Issue No
1
ISSN/ISBN
2224-5804/2225-0522
DOI
doi=10.1.1.671.9493
Keywords
Fractional diffusion equation, Sinc functions, shifted Legendre polynomials, Collocation method.
رجوع