-
1
-
-
84886892928
-
Generalized Sommerfeld problem for time fractional diffusion equation: Analytical and numerical approach
-
submitted
-
A. N. Bondarenko and D. S. Ivaschenko, Generalized Sommerfeld problem for time fractional diffusion equation: analytical and numerical approach. J. Inv. Ill-Posed Problems (submitted).
-
J. Inv. Ill-Posed Problems
-
-
Bondarenko, A.N.1
Ivaschenko, D.S.2
-
2
-
-
0002847893
-
Fractional calculus: Some numerical methods
-
A. Carpinteri and F. Mainardi (eds). Springer-Verlag, Wien and New York
-
R. Gorenflo, Fractional calculus: Some numerical methods. In: Fractals and Fractional Calculus in Continuum Mechanics, A. Carpinteri and F. Mainardi (eds). Springer-Verlag, Wien and New York, 1997, 277-290.
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 277-290
-
-
Gorenflo, R.1
-
3
-
-
0002847893
-
Fractional calculus: Integral and differential equations of fractional order. Fractals and fractional calculus
-
A. Carpinteri and F. Mainardi (eds). Springer-Verlag, Wien and New York
-
R. Gorenflo and F. Mainardi, Fractional calculus: Integral and differential equations of fractional order. Fractals and fractional calculus. In: Continuum Mechanics, A. Carpinteri and F. Mainardi (eds). Springer-Verlag, Wien and New York, 1997, 223-276.
-
(1997)
Continuum Mechanics
, pp. 223-276
-
-
Gorenflo, R.1
Mainardi, F.2
-
5
-
-
17144427014
-
The accuracy and stability analysis of an implicit solution method for the fractional diffusion equation
-
T. A. M. Langlands and B. I. Henry, The accuracy and stability analysis of an implicit solution method for the fractional diffusion equation. J. Comp. Phys. 205 (2005), 719-736.
-
(2005)
J. Comp. Phys.
, vol.205
, pp. 719-736
-
-
Langlands, T.A.M.1
Henry, B.I.2
-
6
-
-
33751533397
-
Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation
-
F. Liu, S. Shen, V. Anh, and I. Turner, Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation. ANZIAM J. 46 (E) (2005), C488-C504.
-
(2005)
ANZIAM J.
, vol.46
, Issue.E
-
-
Liu, F.1
Shen, S.2
Anh, V.3
Turner, I.4
-
7
-
-
46049100549
-
A fractional-order implicit difference approximation for the space-time fractional diffusion equation
-
EMAC2005
-
F. Liu, P. Zhuang, V. Anh, and I. Turner, A fractional-order implicit difference approximation for the space-time fractional diffusion equation. ANZIAMJ. 47 (EMAC2005) (2006), C48-C68.
-
(2006)
ANZIAMJ.
, vol.47
-
-
Liu, F.1
Zhuang, P.2
Anh, V.3
Turner, I.4
-
8
-
-
0025383598
-
A difference scheme for a nonlinear partial integrodifferential equation
-
J. C. Lopez-Marcos, A difference scheme for a nonlinear partial integrodifferential equation. SIAM J. Numer. Anal. 27 (1990), 20-31.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 20-31
-
-
Lopez-Marcos, J.C.1
-
10
-
-
0030464353
-
Fractional relaxation-oscillation and fractional diffusion-wave phenomena
-
F. Mainardi, Fractional relaxation-oscillation and fractional diffusion-wave phenomena. Chaos, Solitons and Fractals 7 (1996), 1461-1477.
-
(1996)
Chaos, Solitons and Fractals
, vol.7
, pp. 1461-1477
-
-
Mainardi, F.1
-
11
-
-
30244460855
-
The fundamental solutions for the fractional diffusion-wave equation
-
-, The fundamental solutions for the fractional diffusion-wave equation. Appl.Math. Lett. 9 (1996), 23-28.
-
(1996)
Appl.Math. Lett.
, vol.9
, pp. 23-28
-
-
Mainardi, F.1
-
12
-
-
0001797959
-
Numerical solution of an evolution equation with a positive-type memory term
-
W. McLean and V. Thomée, Numerical solution of an evolution equation with a positive-type memory term. J. Austral. Math. Soc. Ser. B 35 (1993), 23-70.
-
(1993)
J. Austral. Math. Soc. Ser. B
, vol.35
, pp. 23-70
-
-
McLean, W.1
Thomée, V.2
-
17
-
-
0001754759
-
A numerical method for a partial integro-differential equation
-
J.M. Sanz-Serna, A numerical method for a partial integro-differential equation. SIAMJ. Numer. Anal. 25 (1988), 319-327.
-
(1988)
SIAMJ. Numer. Anal.
, vol.25
, pp. 319-327
-
-
Sanz-Serna, J.M.1
-
20
-
-
0001553919
-
Fractional diffusion and wave equations
-
W. R. Schneider and W. Wyss, Fractional diffusion and wave equations. J. Math. Phys. 30 (1989), 134-144.
-
(1989)
J. Math. Phys.
, vol.30
, pp. 134-144
-
-
Schneider, W.R.1
Wyss, W.2
-
23
-
-
0009481303
-
Fractional diffusion equation
-
W. Wyss, Fractional diffusion equation. J. Math. Phys. 27 (1986), 2782-2785.
-
(1986)
J. Math. Phys.
, vol.27
, pp. 2782-2785
-
-
Wyss, W.1
-
24
-
-
33646128485
-
Weighted average finite difference methods for fractional diffusion equations
-
S. B. Yuste, Weighted average finite difference methods for fractional diffusion equations. J. Comp. Phys. 216 (2006), 264-274.
-
(2006)
J. Comp. Phys.
, vol.216
, pp. 264-274
-
-
Yuste, S.B.1
-
25
-
-
25444472344
-
An explicit finite difference method and a new von Neumann-type stability analysis for fractional diffusion equations
-
DOI 10.1137/030602666
-
S. B. Yuste and L. Acedo, An explicit finite difference method and a new von Neumann-type stability analysis for fractional diffusion equations. SIAM J. Numer. Anal. 42 (2005), 1862-1874. (Pubitemid 41634613)
-
(2005)
SIAM Journal on Numerical Analysis
, vol.42
, Issue.5
, pp. 1862-1874
-
-
Yuste, S.B.1
Acedo, L.2
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