Error Analysis of An Explicit Finite Difference Approximation for the Space Fractional Wave Equations

Authors

N.H. Sweilam, Faculty of Science, Department of Mathematics, University of Cairo, Giza, Egypt
T.A. Assiri, Faculty of Science, Department of Mathematics, University of Um-Alqura, Saudi Arabia

Abstract

In this paper, the space fractional wave equation (SFWE) is numerically studied, where the fractional derivative is defined in the sense of Caputo. An explicit finite difference approximation (EFDA) for SFWE is presented. The stability and the error analysis of the EFDA are discussed. To demonstrate the effectiveness of the approximated method, some test examples are presented.

Recommended Citation

Sweilam, N.H. and Assiri, T.A. (2012) Error Analysis of An Explicit Finite Difference Approximation for the Space Fractional Wave Equations, Sultan Qaboos University Journal For Science: Vol. 17: Iss. 2, 245-253.
DOI: https://doi.org/10.24200/squjs.vol17iss2pp245-253
Available at: https://squjs.squ.edu.om/squjs/vol17/iss2/1