Indian Journal of Science and Technology
Year: 2017, Volume: 10, Issue: 12, Pages: 1-7
Afshan Kanwal1*, Phang Chang1 and Hammad Khalil2
1Universiti Tun Hussein Onn Malaysia; [email protected], [email protected], 2University of Education, Lahore; [email protected]
*Author for correspondence
Universiti Tun Hussein Onn Malaysia; [email protected], [email protected]
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.
Keywords: Fractional Calculus, Fractional Partial Differential Equations, Shifted Legendre Polynomials
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