Title of article :
Error Analysis of an Explicit Finite Difference Approximation for the Space Fractional Wave Equations
Author/Authors :
Sweilam, N.H. Cairo University - Faculty of Science - Department of Mathematics, Egypt , Assiri, T.A. University of Um-Alqura - Faculty of Science - Department of Mathematics, 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.
Keywords :
Fractional order wave equation , Caputo s derivative , Stability condition , Stability matrix analysis.
Journal title :
Sultan Qaboos University Journal for Science
Journal title :
Sultan Qaboos University Journal for Science
