Geodesic
Numerical Solution of Fractional Diffusion-Wave Equation with two Space Variables by Matrix Method
Fractional calculus and applied analysis, Tome 13 (2010) no. 2, pp. 191-207.

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In the present paper we solve space-time fractional diffusion-wave equation with two space variables, using the matrix method. Here, in particular, we give solutions to classical diffusion and wave equations and fractional diffusion and wave equations with different combinations of time and space fractional derivatives. We also plot some graphs for these problems with the help of MATLAB routines.
Keywords: Caputo Fractional Order Derivative, Discretization, Fractional Diffusion-Wave Equation, Kronecker Matrix Product, Matrix Approach, Riemann-Liouville Fractional Derivative, Symmetric-Riesz Fractional Derivative 
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     author = {Garg, Mridula and Manohar, Pratibha},
     title = {Numerical {Solution} of {Fractional} {Diffusion-Wave} {Equation} with two {Space} {Variables} by {Matrix} {Method}},
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     url = {http://geodesic.mathdoc.fr/item/FCAA_2010_13_2_a4/}
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Garg, Mridula; Manohar, Pratibha. Numerical Solution of Fractional Diffusion-Wave Equation with two Space Variables by Matrix Method. Fractional calculus and applied analysis, Tome 13 (2010) no. 2, pp. 191-207. http://geodesic.mathdoc.fr/item/FCAA_2010_13_2_a4/