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

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Abstract

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.

Keywords

Finite difference method
Two-sided space-fractional wave equation
Stability condition
Stability matrix analysis
Gerschgorin theorem

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