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

Afshan Kanwal; Phang Chang  and Hammad Khalil

doi:10.17485/ijst/2017/v10i12/112972

Article

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

VIEWS 707
PDF 610

Abstract
Full-Text HTML
Full-Text PDF
How to Cite

Indian Journal of Science and Technology

DOI: 10.17485/ijst/2017/v10i12/112972

Year: 2017, Volume: 10, Issue: 12, Pages: 1-7

Original Article

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

Afshan Kanwal^1*, Phang Chang¹ and Hammad Khalil²

¹Universiti Tun Hussein Onn Malaysia; [email protected], [email protected], ²University of Education, Lahore; [email protected]

*Author for correspondence
Afshan Kanwal
Universiti Tun Hussein Onn Malaysia; [email protected], [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

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