Liu, F., Zhuang, P. and Burrage, K. (2012) Numerical Methods and Analysis for a Class of Fractional Advection-Dispersion Models. Computer and Mathematics with Application, 64, 2990-3007.
http://dx.doi.org/10.1016/j.camwa.2012.01.020

has been cited by the following article:

• TITLE: Numerical Solution for the Fractional Wave Equation Using Pseudo-Spectral Method Based on the Generalized Laguerre Polynomials

  AUTHORS: Nasser H. Sweilam, Mohamed M. Khader, Mohamed Adel

  KEYWORDS: Fractional Wave Equation, Caputo Derivative, Finite Difference Method, Laguerre Polynomials, Convergence Analysis

  JOURNAL NAME: Applied Mathematics, Vol.6 No.4, April 10, 2015

  ABSTRACT: In this paper, an efficient numerical method is considered for solving the fractional wave equation (FWE). The fractional derivative is described in the Caputo sense. The method is based on Laguerre approximations. The properties of Laguerre polynomials are utilized to reduce FWE to a system of ordinary differential equations, which is solved by the finite difference method. An approximate formula of the fractional derivative is given. Special attention is given to study the convergence analysis and estimate an error upper bound of the presented formula. Numerical solutions of FWE are given and the results are compared with the exact solution.