On a novel modification of the Legendre collocation method for solving fractional diffusion equation

Jaleb, Hosein; Adibi, Hojatollah

On a novel modification of the Legendre collocation method for solving fractional diffusion equation

Document Type : Research Paper

Authors

Hosein Jaleb ¹
Hojatollah Adibi ²

¹ Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

² Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University Of Technology, Tehran, Iran

Abstract

In this paper, a modification of the Legendre collocation method is used for solving the space fractional differential equations. The fractional derivative is considered in the Caputo sense along with the finite difference and Legendre collocation schemes. The numerical results obtained by this method have been compared with other methods. The results show the capability and efficiency of the proposed method.

Keywords