-
1
-
-
33644792185
-
Estimation of transport and kinetic parameters using analytical solutions of the 2D advection-dispersion-reaction model
-
F. Catania, M. Massab'o, and O. Paladino Estimation of transport and kinetic parameters using analytical solutions of the 2D advection-dispersion- reaction model Environmetrics 17 2 2006 199 216
-
(2006)
Environmetrics
, vol.17
, Issue.2
, pp. 199-216
-
-
Catania, F.1
Massab'O, M.2
Paladino, O.3
-
2
-
-
49249094092
-
ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation
-
S. Chen, and F. Liu ADI-Euler and extrapolation methods for the two-dimensional fractional advection-dispersion equation J. Appl. Math. Comput. 26 (1-2) 2008 295 311
-
(2008)
J. Appl. Math. Comput. 26 (1-2)
, pp. 295-311
-
-
Chen, S.1
Liu, F.2
-
3
-
-
0034505550
-
Wavelet and Fourier methods for solving the sideways heat equation
-
L. Eldén, F. Berntsson, and T. Regińska Wavelet and Fourier methods for solving the sideways heat equation SIAM J. Sci. Comput. 21 6 2000 2187 2205 (electronic)
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, Issue.6
, pp. 2187-2205
-
-
Eldén, L.1
Berntsson, F.2
Regińska, T.3
-
4
-
-
33646262074
-
Variational formulation for the stationary fractional advection dispersion equation
-
V.J. Ervin, and J.P. Roop Variational formulation for the stationary fractional advection dispersion equation Numer. Methods Partial Differential Equations 22 3 2006 558 576
-
(2006)
Numer. Methods Partial Differential Equations
, vol.22
, Issue.3
, pp. 558-576
-
-
Ervin, V.J.1
Roop, J.P.2
-
5
-
-
33847793586
-
Variational solution of fractional advection dispersion equations on bounded domains in Rd
-
V.J. Ervin, and J.P. Roop Variational solution of fractional advection dispersion equations on bounded domains in Rd Numer. Methods Partial Differential Equations 23 2 2007 256 281
-
(2007)
Numer. Methods Partial Differential Equations
, vol.23
, Issue.2
, pp. 256-281
-
-
Ervin, V.J.1
Roop, J.P.2
-
6
-
-
62649165850
-
A simple regularization method for stable analytic continuation
-
C.L. Fu, F.F. Dou, X.L. Feng, and Z. Qian A simple regularization method for stable analytic continuation Inverse Problems 24 2008 1 15
-
(2008)
Inverse Problems
, vol.24
, pp. 1-15
-
-
Fu, C.L.1
Dou, F.F.2
Feng, X.L.3
Qian, Z.4
-
7
-
-
33947105490
-
Fourier regularization for a backward heat equation
-
C.L. Fu, X.T. Xiong, and Z. Qian Fourier regularization for a backward heat equation J. Math. Anal. Appl. 331 1 2007 472 480
-
(2007)
J. Math. Anal. Appl.
, vol.331
, Issue.1
, pp. 472-480
-
-
Fu, C.L.1
Xiong, X.T.2
Qian, Z.3
-
8
-
-
18444365299
-
Two regularization methods and the order optimal error estimates for a sideways parabolic equation
-
P. Fu, C.L. Fu, X.T. Xiong, and H.F. Li Two regularization methods and the order optimal error estimates for a sideways parabolic equation Comput. Math. Appl. 49 5-6 2005 777 788
-
(2005)
Comput. Math. Appl.
, vol.49
, Issue.56
, pp. 777-788
-
-
Fu, P.1
Fu, C.L.2
Xiong, X.T.3
Li, H.F.4
-
9
-
-
19944370478
-
The fundamental solution of the space-time fractional advection-dispersion equation
-
F. Huang, and F. Liu The fundamental solution of the space-time fractional advection-dispersion equation J. Appl. Math. Comput. 18 1-2 2005 339 350
-
(2005)
J. Appl. Math. Comput.
, vol.18
, Issue.12
, pp. 339-350
-
-
Huang, F.1
Liu, F.2
-
10
-
-
33747286487
-
The time fractional diffusion equation and the advection-dispersion equation
-
F. Huang, and F. Liu The time fractional diffusion equation and the advection-dispersion equation ANZIAM J. 46 3 2005 317 330
-
(2005)
ANZIAM J.
, vol.46
, Issue.3
, pp. 317-330
-
-
Huang, F.1
Liu, F.2
-
11
-
-
0037448178
-
Some analytical solutions for the advection-dispersion equation
-
M.E. Khalifa Some analytical solutions for the advection-dispersion equation Appl. Math. Comput. 139 2-3 2003 299 310
-
(2003)
Appl. Math. Comput.
, vol.139
, Issue.23
, pp. 299-310
-
-
Khalifa, M.E.1
-
12
-
-
0348230399
-
Time fractional advection-dispersion equation
-
F. Liu, V.V. Anh, I. Turner, and P. Zhuang Time fractional advection-dispersion equation J. Appl. Math. Comput. 13 1-2 2003 233 245
-
(2003)
J. Appl. Math. Comput.
, vol.13
, Issue.12
, pp. 233-245
-
-
Liu, F.1
Anh, V.V.2
Turner, I.3
Zhuang, P.4
-
13
-
-
33846798041
-
Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method
-
Q. Liu, F. Liu, I. Turner, and V. Anh Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method J. Comput. Phys. 222 1 2007 57 70
-
(2007)
J. Comput. Phys.
, vol.222
, Issue.1
, pp. 57-70
-
-
Liu, Q.1
Liu, F.2
Turner, I.3
Anh, V.4
-
14
-
-
77956267706
-
Time fractional diffusion-reaction equation
-
X.Z. Lu, and F.W. Liu Time fractional diffusion-reaction equation Numer. Math. J. Chin. Univ. 27 3 2005 267 273
-
(2005)
Numer. Math. J. Chin. Univ.
, vol.27
, Issue.3
, pp. 267-273
-
-
Lu, X.Z.1
Liu, F.W.2
-
15
-
-
0038339461
-
Geometry of linear ill-posed problems in variable hilbert scales
-
P. Mathé, and S.V. Pereverzev Geometry of linear ill-posed problems in variable hilbert scales Inverse Problems 19 2003 789 803
-
(2003)
Inverse Problems
, vol.19
, pp. 789-803
-
-
Mathé, P.1
Pereverzev, S.V.2
-
16
-
-
4444368867
-
Finite difference approximations for fractional advection-dispersion flow equations
-
M.M. Meerschaert, and C. Tadjeran Finite difference approximations for fractional advection-dispersion flow equations J. Comput. Appl. Math. 172 1 2004 65 77
-
(2004)
J. Comput. Appl. Math.
, vol.172
, Issue.1
, pp. 65-77
-
-
Meerschaert, M.M.1
Tadjeran, C.2
-
17
-
-
0002641421
-
The random walk's guide to anomalous diffusion: A fractional dynamics approach
-
R. Metzler, and J. Klafter The random walk's guide to anomalous diffusion: a fractional dynamics approach Phys. Rep. 339 2000 1 77
-
(2000)
Phys. Rep.
, vol.339
, pp. 1-77
-
-
Metzler, R.1
Klafter, J.2
-
18
-
-
56249110637
-
Numerical solutions of the space-time fractional advection-dispersion equation
-
S. Momani, and Z. Odibat Numerical solutions of the space-time fractional advection-dispersion equation Numer. Methods Partial Differential Equations 24 6 2008 1416 1429
-
(2008)
Numer. Methods Partial Differential Equations
, vol.24
, Issue.6
, pp. 1416-1429
-
-
Momani, S.1
Odibat, Z.2
-
19
-
-
52049116300
-
Time fractional IHCP with Caputo fractional derivatives
-
D.A. Murio Time fractional IHCP with Caputo fractional derivatives Comput. Math. Appl. 56 9 2008 2371 2381
-
(2008)
Comput. Math. Appl.
, vol.56
, Issue.9
, pp. 2371-2381
-
-
Murio, D.A.1
-
20
-
-
0037227075
-
Morozovs discrpancy principle under general source conditions
-
M.T. Nair, E. Schock, and U. Tautenhahn Morozovs discrpancy principle under general source conditions Z. Anal. Anw. 22 2003 199 214
-
(2003)
Z. Anal. Anw.
, vol.22
, pp. 199-214
-
-
Nair, M.T.1
Schock, E.2
Tautenhahn, U.3
-
21
-
-
84989897869
-
Fractional differential equations: An introduction to fractional derivatives, fractional differential equations, some methods of their solution and some of their applications
-
Academic Press San Diego
-
I. Podlubny Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, some methods of their solution and some of their applications Mathematics in Science and Engineering, vol. 198 1999 Academic Press San Diego
-
(1999)
Mathematics in Science and Engineering, Vol. 198
-
-
Podlubny, I.1
-
22
-
-
58349084109
-
A computational method for a Cauchy problem of Laplace's equation
-
A.L. Qian, and Y.J. Wu A computational method for a Cauchy problem of Laplace's equation Appl. Math. Comput. 207 2 2009 478 485
-
(2009)
Appl. Math. Comput.
, vol.207
, Issue.2
, pp. 478-485
-
-
Qian, A.L.1
Wu, Y.J.2
-
23
-
-
48049106196
-
Numerical approximation of a one-dimensional space fractional advection-dispersion equation with boundary layer
-
J.P. Roop Numerical approximation of a one-dimensional space fractional advection-dispersion equation with boundary layer Comput. Math. Appl. 56 7 2008 1808 1819
-
(2008)
Comput. Math. Appl.
, vol.56
, Issue.7
, pp. 1808-1819
-
-
Roop, J.P.1
-
24
-
-
0034275979
-
Fractional calculus and continuous-time finance
-
E. Scalas, R. Gorenflo, and F. Mainardi Fractional calculus and continuous-time finance Physica A 284 1-4 2000 376 384
-
(2000)
Physica A
, vol.284
, Issue.14
, pp. 376-384
-
-
Scalas, E.1
Gorenflo, R.2
Mainardi, F.3
-
25
-
-
21444446911
-
Optimal stable solution of Cauchy problems for elliptic equations
-
U. Tautenhahn Optimal stable solution of Cauchy problems for elliptic equations Z. Anal. Anw. 4 1996 961 984
-
(1996)
Z. Anal. Anw.
, vol.4
, pp. 961-984
-
-
Tautenhahn, U.1
-
26
-
-
0011911816
-
Optimal stable approximations for the sideways heat equation
-
U. Tautenhahn Optimal stable approximations for the sideways heat equation J. Inv. Ill-Posed Problems 5 1997 287 307
-
(1997)
J. Inv. Ill-Posed Problems
, vol.5
, pp. 287-307
-
-
Tautenhahn, U.1
-
27
-
-
0032047113
-
Optimality for linear ill-posed problems under general source conditions
-
U. Tautenhahn Optimality for linear ill-posed problems under general source conditions Numer. Funct. Anal. Optim. 19 1998 377 398
-
(1998)
Numer. Funct. Anal. Optim.
, vol.19
, pp. 377-398
-
-
Tautenhahn, U.1
-
28
-
-
77956266051
-
On order optimal regularization under general source conditions
-
U. Tautenhahn On order optimal regularization under general source conditions Proc. Estonian Acad. Sci. Phys. Math. 53 2004 116 123
-
(2004)
Proc. Estonian Acad. Sci. Phys. Math.
, vol.53
, pp. 116-123
-
-
Tautenhahn, U.1
-
29
-
-
33646494026
-
On using random walks to solve the space-fractional advection-dispersion equations
-
Z. Yong, D.A. Benson, M.M. Meerschaert, and H.P. Scheffler On using random walks to solve the space-fractional advection-dispersion equations J. Stat. Phys. 123 1 2006 89 110
-
(2006)
J. Stat. Phys.
, vol.123
, Issue.1
, pp. 89-110
-
-
Yong, Z.1
Benson, D.A.2
Meerschaert, M.M.3
Scheffler, H.P.4
|