Numerical solution of two-sided space-fractional wave equation using finite difference method
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[1] Santos B. Yuste,et al. Weighted average finite difference methods for fractional diffusion equations , 2004, J. Comput. Phys..
[2] M. Meerschaert,et al. Finite difference approximations for fractional advection-dispersion flow equations , 2004 .
[3] O. Marichev,et al. Fractional Integrals and Derivatives: Theory and Applications , 1993 .
[4] M. Meerschaert,et al. Finite difference approximations for two-sided space-fractional partial differential equations , 2006 .
[5] C. Lubich. Discretized fractional calculus , 1986 .
[6] I. Podlubny. Fractional differential equations , 1998 .
[7] N. Sweilam,et al. Numerical studies for a multi-order fractional differential equation , 2007 .
[8] Hossein Jafari,et al. Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition , 2006, Appl. Math. Comput..
[9] Ji-Huan He. Approximate analytical solution for seepage flow with fractional derivatives in porous media , 1998 .
[10] H. Keller,et al. Analysis of Numerical Methods , 1969 .
[11] K. Diethelm. AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER , 1997 .
[12] Mark M. Meerschaert,et al. A second-order accurate numerical method for the two-dimensional fractional diffusion equation , 2007, J. Comput. Phys..
[13] R. Bagley,et al. On the Appearance of the Fractional Derivative in the Behavior of Real Materials , 1984 .
[14] Mikael Enelund,et al. Time-Domain Finite Element Analysis of Viscoelastic Structures with Fractional Derivatives Constitutive Relations , 1997 .