-
2
-
-
40849115179
-
Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation
-
CHEN, C., LIU, F. & BURRAGE, K.(2008) Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation. Appl. Math. Comput., 198, 754-769.
-
(2008)
Appl. Math. Comput
, vol.198
, pp. 754-769
-
-
CHEN, C.1
LIU, F.2
BURRAGE, K.3
-
3
-
-
36149001420
-
A Fourier analysis method for the fractional diffusion equation describing sub-diffusion
-
CHEN, C., LIU, F., TURNER, I. & ANH, V.(2007) A Fourier analysis method for the fractional diffusion equation describing sub-diffusion. J. Comput. Phys., 227, 886-897.
-
(2007)
J. Comput. Phys
, vol.227
, pp. 886-897
-
-
CHEN, C.1
LIU, F.2
TURNER, I.3
ANH, V.4
-
4
-
-
63649149850
-
-
CHOU, H., LEE, B. & CHEN, C.(2006) The transient infiltration process for seepage flow from cracks. Advances in Subsurface Flow and Transport: Eastern and Western Approaches III., Eos Trans. AGU, 2006 Western Pacific Meeting.
-
CHOU, H., LEE, B. & CHEN, C.(2006) The transient infiltration process for seepage flow from cracks. Advances in Subsurface Flow and Transport: Eastern and Western Approaches III., Eos Trans. AGU, 2006 Western Pacific Meeting.
-
-
-
-
7
-
-
63649114387
-
-
DEMMEL, J. W.(1997) Applied Numerical Linear Algebra. Philadelphia: SIAM.
-
DEMMEL, J. W.(1997) Applied Numerical Linear Algebra. Philadelphia: SIAM.
-
-
-
-
8
-
-
0032307661
-
-
HE, J.(1998) Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput. Methods Appl. Mech. Eng., 167, 57-68.
-
HE, J.(1998) Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput. Methods Appl. Mech. Eng., 167, 57-68.
-
-
-
-
9
-
-
63649129986
-
-
HUANG, A. X.et al. (1996) A new decomposition for solving percolation equations in porous media. Third International Symposium on Aerothermodynamics of Internal Flows, Beijing, China, pp. 417-420.
-
HUANG, A. X.et al. (1996) A new decomposition for solving percolation equations in porous media. Third International Symposium on Aerothermodynamics of Internal Flows, Beijing, China, pp. 417-420.
-
-
-
-
10
-
-
33748959199
-
Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition
-
JAFARI, H. & DAFTARDAR-GEJJI, V.(2006) Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition. Appl. Math. Comput., 180, 488-497.
-
(2006)
Appl. Math. Comput
, vol.180
, pp. 488-497
-
-
JAFARI, H.1
DAFTARDAR-GEJJI, V.2
-
12
-
-
33751545053
-
Fractional high order methods for the nonlinear fractional ordinary differential equation
-
LIN, R. & LIU, F.(2006) Fractional high order methods for the nonlinear fractional ordinary differential equation. Nonlinear Anal. 66, 856-869.
-
(2006)
Nonlinear Anal
, vol.66
, pp. 856-869
-
-
LIN, R.1
LIU, F.2
-
13
-
-
1542425102
-
Numerical solution of the space fractional Fokker-Planck equation
-
LIU, F., ANH, V. & TURNER, I.(2004a) Numerical solution of the space fractional Fokker-Planck equation. J. Comput. Appl. Math., 166, 209-219.
-
(2004)
J. Comput. Appl. Math
, vol.166
, pp. 209-219
-
-
LIU, F.1
ANH, V.2
TURNER, I.3
-
14
-
-
33751548431
-
Numerical simulation for solute transport in fractal porous media
-
LIU, F., ANH, V., TURNER, I. & ZHUANG, P.(2004b) Numerical simulation for solute transport in fractal porous media. ANZIAM J. 45, 461-473.
-
(2004)
ANZIAM J
, vol.45
, pp. 461-473
-
-
LIU, F.1
ANH, V.2
TURNER, I.3
ZHUANG, P.4
-
15
-
-
34547673244
-
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
-
LIU, F., ZHUANG, P., ANH, V., TURNER, I. & BURRAGE, K.(2007a) Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Appl. Math. Comput., 191, 12-20.
-
(2007)
Appl. Math. Comput
, vol.191
, pp. 12-20
-
-
LIU, F.1
ZHUANG, P.2
ANH, V.3
TURNER, I.4
BURRAGE, K.5
-
16
-
-
33846798041
-
Approximation of the L'evy-Feller advection-dispersion process by random walk and finite difference method
-
LIU, Q., LIU, F., ANH, V. & TURNER, I.(2007b) Approximation of the L'evy-Feller advection-dispersion process by random walk and finite difference method. J. Comput. Phys., 222, 57-70.
-
(2007)
J. Comput. Phys
, vol.222
, pp. 57-70
-
-
LIU, Q.1
LIU, F.2
ANH, V.3
TURNER, I.4
-
17
-
-
55149114659
-
Finite element numerical simulation of three-dimensional seepage control for deep foundation pit dewatering
-
LUO, Z.-J., ZHANG, Y.-Y. & WU, Y.-X.(2008) Finite element numerical simulation of three-dimensional seepage control for deep foundation pit dewatering. J. Hydrodyn., 20, 596-602.
-
(2008)
J. Hydrodyn
, vol.20
, pp. 596-602
-
-
LUO, Z.-J.1
ZHANG, Y.-Y.2
WU, Y.-X.3
-
18
-
-
63649111125
-
-
MAO, C.-X.(2003) Seepage Computation Analysis & Control. Beijing, China: China Water Power Press (in Chinese).
-
MAO, C.-X.(2003) Seepage Computation Analysis & Control. Beijing, China: China Water Power Press (in Chinese).
-
-
-
-
20
-
-
25444463578
-
Finite difference methods for two-dimensional fractional dispersion equation
-
MEERSCHAERT, M. M., SCHEFFLER, H. & TADJERAN, C.(2006) Finite difference methods for two-dimensional fractional dispersion equation. J. Comput. Phys., 211, 249-261.
-
(2006)
J. Comput. Phys
, vol.211
, pp. 249-261
-
-
MEERSCHAERT, M.M.1
SCHEFFLER, H.2
TADJERAN, C.3
-
21
-
-
4444368867
-
Finite difference approximations for fractional advection-dispersion flow equations
-
MEERSCHAERT, M. M. & TADJERAN, C.(2004) Finite difference approximations for fractional advection-dispersion flow equations. J. Comput. Appl. Math., 172, 65-77.
-
(2004)
J. Comput. Appl. Math
, vol.172
, pp. 65-77
-
-
MEERSCHAERT, M.M.1
TADJERAN, C.2
-
22
-
-
63649101659
-
Seepage flow and consolidation in a deforming porous medium
-
PETFORD, N. & KOENDERS, M. A.(2003) Seepage flow and consolidation in a deforming porous medium. Geophys. Res. Abstr., 5, 13329.
-
(2003)
Geophys. Res. Abstr
, vol.5
, pp. 13329
-
-
PETFORD, N.1
KOENDERS, M.A.2
-
24
-
-
63649096933
-
-
ROOP, J. P.(2004) Variational solution of the fractional advection dispersion equation. Ph.D. Thesis, The Graduate school of Clemson University, South Carolina.
-
ROOP, J. P.(2004) Variational solution of the fractional advection dispersion equation. Ph.D. Thesis, The Graduate school of Clemson University, South Carolina.
-
-
-
-
25
-
-
33646191893
-
-
2. J. Comput. Appl. Math., 193, 243-268.
-
2. J. Comput. Appl. Math., 193, 243-268.
-
-
-
-
27
-
-
70549107817
-
Error analysis of an explicit finite difference approximation for the space fractional diffusion with insulated ends
-
SHEN, S. & LIU, F.(2005) Error analysis of an explicit finite difference approximation for the space fractional diffusion with insulated ends. ANZIAM J., 46, 871-887.
-
(2005)
ANZIAM J
, vol.46
, pp. 871-887
-
-
SHEN, S.1
LIU, F.2
-
28
-
-
57649137996
-
The functional solution and numerical solution of the Riesz fractional advection-dispersion equation
-
SHEN, S., LIU, F., ANH, V. & TURNER, I.(2008) The functional solution and numerical solution of the Riesz fractional advection-dispersion equation. IMA J. Appl. Math. 73, 850-872.
-
(2008)
IMA J. Appl. Math
, vol.73
, pp. 850-872
-
-
SHEN, S.1
LIU, F.2
ANH, V.3
TURNER, I.4
-
29
-
-
63649090045
-
-
SMITH, D. D.(1990) Numerical Solution of Partial Differential Equations: Finite Difference Methods. Oxford Applied Mathematics and Computing Science Series, Oxford University Press.
-
SMITH, D. D.(1990) Numerical Solution of Partial Differential Equations: Finite Difference Methods. Oxford Applied Mathematics and Computing Science Series, Oxford University Press.
-
-
-
-
30
-
-
31744438550
-
A second order accurate numerical approximation for the fractional diffusion equation
-
TADJERAN, C., SCHEFFLER, H. & MEERSCHAERT, M. M.(2006) A second order accurate numerical approximation for the fractional diffusion equation. J. Comput. Phys., 213, 205-213.
-
(2006)
J. Comput. Phys
, vol.213
, pp. 205-213
-
-
TADJERAN, C.1
SCHEFFLER, H.2
MEERSCHAERT, M.M.3
-
31
-
-
63649085967
-
-
THOMAS, J. W.(1995) Numerical Partial Differential Equations: Finite Difference Methods. NewYork: Springer.
-
THOMAS, J. W.(1995) Numerical Partial Differential Equations: Finite Difference Methods. NewYork: Springer.
-
-
-
-
32
-
-
34249864994
-
Scaling of seepage flow velocity in centrifuge models
-
THUSYANTHAN, N. I. & MADABHUSHI, S. P. G.(2003) Scaling of seepage flow velocity in centrifuge models. CUED/D-SOILS/TR326. http://www-civ.eng.cam.ac.uk/geotech new/publications/TR/TR326.pdf
-
(2003)
CUED/D-SOILS/TR326
-
-
THUSYANTHAN, N.I.1
MADABHUSHI, S.P.G.2
-
33
-
-
41449094744
-
Solving linear and nonlinear space-time fractional reaction-diffusion equations by Adomian decomposition method
-
YU, Q., LIU, F., ANH, V. & TURNER, I.(2008) Solving linear and nonlinear space-time fractional reaction-diffusion equations by Adomian decomposition method. Int. J. Numer. Methods Eng., 74, 138-158.
-
(2008)
Int. J. Numer. Methods Eng
, vol.74
, pp. 138-158
-
-
YU, Q.1
LIU, F.2
ANH, V.3
TURNER, I.4
-
34
-
-
34249805393
-
Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation
-
ZHANG, H., LIU, F. & ANH, V.(2007) Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation. J. Comput. Appl. Math., 206, 1098-1115.
-
(2007)
J. Comput. Appl. Math
, vol.206
, pp. 1098-1115
-
-
ZHANG, H.1
LIU, F.2
ANH, V.3
-
35
-
-
84867978055
-
Implicit difference approximation for the time fractional diffusion equation
-
ZHUANG, P. & LIU, F.(2006) Implicit difference approximation for the time fractional diffusion equation. J. Appl. Math. Comput., 22, 87-99.
-
(2006)
J. Appl. Math. Comput
, vol.22
, pp. 87-99
-
-
ZHUANG, P.1
LIU, F.2
-
36
-
-
55549107511
-
New solution and analytical techniques of the implicit numerical methods for the anomalous sub-diffusion equation
-
ZHUANG, P., LIU, F., ANH, V. & TURNER, I.(2008) New solution and analytical techniques of the implicit numerical methods for the anomalous sub-diffusion equation. SIAM J. Numer. Anal., 46, 1079-1095.
-
(2008)
SIAM J. Numer. Anal
, vol.46
, pp. 1079-1095
-
-
ZHUANG, P.1
LIU, F.2
ANH, V.3
TURNER, I.4
|