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
Publication details
- DOI
- 10.24200/squjs.vol17iss2pp245-253
- Journal
- Sultan Qaboos University Journal for Science, 17(2), 245
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Sweilam, N. H., & Assiri, T. A. R. (2012). Error Analysis of An Explicit Finite Difference Approximation for the Space Fractional Wave Equations. Sultan Qaboos University Journal for Science, 17(2), 245. https://doi.org/10.24200/squjs.vol17iss2pp245-253
MLA 9
Sweilam, Nasser Hassan, and Taghreed Abdul Rahman Assiri. "Error Analysis of An Explicit Finite Difference Approximation for the Space Fractional Wave Equations." Sultan Qaboos University Journal for Science, vol. 17, no. 2, 2012, pp. 245. https://doi.org/10.24200/squjs.vol17iss2pp245-253.
Chicago (author–date)
Sweilam, Nasser Hassan, and Taghreed Abdul Rahman Assiri. 2012. "Error Analysis of An Explicit Finite Difference Approximation for the Space Fractional Wave Equations." Sultan Qaboos University Journal for Science 17 (2): 245. https://doi.org/10.24200/squjs.vol17iss2pp245-253.
Harvard
Sweilam, N. H. and Assiri, T. A. R. (2012) 'Error Analysis of An Explicit Finite Difference Approximation for the Space Fractional Wave Equations', Sultan Qaboos University Journal for Science, 17(2), pp. 245. doi:10.24200/squjs.vol17iss2pp245-253.
Vancouver
Sweilam NH, Assiri TAR. Error Analysis of An Explicit Finite Difference Approximation for the Space Fractional Wave Equations. Sultan Qaboos University Journal for Science. 2012;17(2):245. doi:10.24200/squjs.vol17iss2pp245-253
IEEE
N. H. Sweilam, and T. A. R. Assiri, "Error Analysis of An Explicit Finite Difference Approximation for the Space Fractional Wave Equations," Sultan Qaboos University Journal for Science, vol. 17, no. 2, pp. 245, 2012, doi: 10.24200/squjs.vol17iss2pp245-253.