New Algorithm based on Shifted Legendre Polynomials for Fractional Partial Differential Equations

Afshan Kanwal, Phang Chang, Hammad Khalil
2017 Indian Journal of Science and Technology  
The aim of this article is to present a general framework of operational matrix via Shifted Legendre Polynomials (SLOM) for the solution of Fractional Partial Differential Equations (FPDEs) with variable coefficients. A new operational matrix is developed to approximate the solutions of two dimensional FPDEs. By using this operational matrix, a system of algebraic equations is attained. To demonstrate the efficiency and reliability of the proposed method, some numerical examples are conferred and compared with other existing approaches.
doi:10.17485/ijst/2017/v10i12/112972 fatcat:e2nyhpfzozgk5d3veyc6v347ae