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Zbl 1209.65089
Sweilam, N.H.; Khader, M.M.; Nagy, A.M.
Numerical solution of two-sided space-fractional wave equation using finite difference method. (English)
[J] J. Comput. Appl. Math. 235, No. 8, 2832-2841 (2011). ISSN 0377-0427

Summary: A class of finite difference methods for solving a 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.

MSC 2000:: *65M06 Finite difference methods (IVP of PDE)
35L20 Second order hyperbolic equations, boundary value problems
35R11
65M12 Stability and convergence of numerical methods (IVP of PDE)

Keywords: finite difference method; two-sided space-fractional wave equation; stability condition; stability matrix analysis; Gerschgorin theorem; numerical examples; consistency

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Zentralblatt MATH Berlin [Germany]