A weighted numerical algorithm for two and three dimensional two-sided space fractional wave equations

Kaiying Deng, Minghua Chen and Tieli Sun

Applied Mathematics and Computation, 2015, vol. 257, issue C, 264-273

Abstract: A weighed numerical scheme that can effectively solve the fractional wave equation in a finite domain is provided. We focus on detailedly discussing the two and three dimensional two-sided space fractional wave equations with homogeneous boundary conditions. A second order finite difference scheme is used to discretize the space fractional derivative and the time derivative. Additionally, the numerical results confirm that the weighted numerical algorithm is convergent with second order accuracy in both space and time directions for the homogeneous boundary fractional problems.

Keywords: Fractional wave equation; Alternating direction implicit method; Left Riemann–Liouville fractional derivative; Right Riemann–Liouville fractional derivative; Weighted numerical algorithm (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:264-273

DOI: 10.1016/j.amc.2014.08.039

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