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Numerical studies for the variable-order nonlinear fractional wave equation
Journal article   Peer reviewed

Numerical studies for the variable-order nonlinear fractional wave equation

N. Sweilam, M. Khader and H. Almarwm
Fractional calculus & applied analysis, Vol.15(4), pp.669-683
01/12/2012
DOI: https://doi.org/10.2478/s13540-012-0045-9

Abstract

26A33 35E99 65G99 65K10 convergence and stability analysis explicit finite difference method nonlinear fractional wave equation variable order fractional calculus
In this paper, the explicit finite difference method (FDM) is used to study the variable order nonlinear fractional wave equation. The fractional derivative is described in the Riesz sense. Special attention is given to study the stability analysis and the convergence of the proposed method. Numerical test examples are presented to show the efficiency of the proposed numerical scheme.

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