Numerical simulation for the 3D seepage flow with fractional derivatives in porous media

[1]  Yong-xia Wu,et al.  Finite Element Numerical Simulation of Three-Dimensional Seepage Control for Deep Foundation Pit Dewatering , 2008 .

[2]  Fawang Liu,et al.  Finite difference methods and a fourier analysis for the fractional reaction-subdiffusion equation , 2008, Appl. Math. Comput..

[3]  Fawang Liu,et al.  Solving linear and non‐linear space–time fractional reaction–diffusion equations by the Adomian decomposition method , 2008 .

[4]  Fawang Liu,et al.  New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation , 2008, SIAM J. Numer. Anal..

[5]  Fawang Liu,et al.  Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation , 2007 .

[6]  Fawang Liu,et al.  Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation , 2007, Appl. Math. Comput..

[7]  Fawang Liu,et al.  Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method , 2007, J. Comput. Phys..

[8]  Fawang Liu,et al.  Fractional high order methods for the nonlinear fractional ordinary differential equation , 2007 .

[9]  Fawang Liu,et al.  Implicit difference approximation for the time fractional diffusion equation , 2006 .

[10]  Hossein Jafari,et al.  Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition , 2006, Appl. Math. Comput..

[11]  J. P. Roop.  Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in R 2 , 2006 .

[12]  Mark M. Meerschaert,et al.  A second-order accurate numerical approximation for the fractional diffusion equation , 2006, J. Comput. Phys..

[13]  Fawang Liu,et al.  Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends , 2005 .

[14]  M. Meerschaert,et al.  Finite difference approximations for fractional advection-dispersion flow equations , 2004 .

[15]  Fawang Liu,et al.  Numerical simulation for solute transport in fractal porous media , 2004 .

[16]  Fawang Liu,et al.  Numerical solution of the space fractional Fokker-Planck equation , 2004 .

[17]  Spg Madabhushi,et al.  Scaling of seepage flow velocity in centrifuge models , 2003 .

[18]  Ji-Huan He.  Approximate analytical solution for seepage flow with fractional derivatives in porous media , 1998 .

[19]  James Demmel,et al.  Applied Numerical Linear Algebra , 1997 .

[20]  J. Liggett,et al.  The Boundary Integral Equation Method for Porous Media Flow , 1982 .

[21]  J. Bear.  Dynamics of Fluids in Porous Media , 1975 .

[22]  M. Meerschaert,et al.  Finite difference methods for two-dimensional fractional dispersion equation , 2006 .

[23]  J. P. Roop.  Variational Solution of the Fractional Advection Dispersion Equation , 2004 .

[24]  E. Christiansen,et al.  Handbook of Numerical Analysis , 1996 .

[25]  N. D. Ridder,et al.  Seepage and groundwater flow. , 1994 .

[26]  The Transient Infiltration Process for Seepage Flow from Cracks , 2022 .