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

Authors:
N. H. Sweilam;M. M. Khader;A. M. Nagy
Affiliations:
Cairo University, Faculty of Science, Mathematics Department, Giza, Egypt;Benha University, Faculty of Science, Mathematics Department, Benha, Egypt;Benha University, Faculty of Science, Mathematics Department, Benha, Egypt
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 5
Cited 2

Discretized fractional calculus

SIAM Journal on Mathematical Analysis
Finite difference approximations for fractional advection-dispersion flow equations

Journal of Computational and Applied Mathematics
Weighted average finite difference methods for fractional diffusion equations

Journal of Computational Physics
A second-order accurate numerical method for the two-dimensional fractional diffusion equation

Journal of Computational Physics
Finite difference approximations for two-sided space-fractional partial differential equations

Applied Numerical Mathematics

Numerical treatment for solving the perturbed fractional PDEs using hybrid techniques

Journal of Computational Physics
Improved matrix transform method for the Riesz space fractional reaction dispersion equation

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	7.30

Visualization

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.