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Numerical solution of two-sided space-fractional wave equation using finite difference method
Journal article   Open access  Peer reviewed

Numerical solution of two-sided space-fractional wave equation using finite difference method

N.H. Sweilam, M.M. Khader and A.M. Nagy
Journal of computational and applied mathematics, Vol.235(8), pp.2832-2841
15/02/2011
DOI: https://doi.org/10.1016/j.cam.2010.12.002

Abstract

Finite difference method Gerschgorin theorem Stability condition Stability matrix analysis Two-sided space-fractional wave equation
In this paper, a class of finite difference method for solving two-sided space-fractional wave equation is considered. The stability and consistency of the method are discussed by means of Gerschgorin theorem and using the stability matrix analysis. Numerical solutions of some wave fractional partial differential equation models are presented. The results obtained are compared to exact solutions.
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https://doi.org/10.1016/j.cam.2010.12.002View
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