Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation

Ya-nan Zhang; Zhi-zhong Sun; Xuan Zhao

doi:10.1137/110840959

Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation

SIAM Journal on Numerical Analysis ◽

10.1137/110840959 ◽

2012 ◽

Vol 50 (3) ◽

pp. 1535-1555 ◽

Cited By ~ 100

Author(s):

Ya-nan Zhang ◽

Zhi-zhong Sun ◽

Xuan Zhao

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

Implicit Scheme ◽

Two Dimensional ◽

Diffusion Wave ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2013.08.031 ◽

2013 ◽

Vol 255 ◽

pp. 471-485 ◽

Cited By ~ 35

Author(s):

Limei Li ◽

Da Xu ◽

Man Luo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Fractional Diffusion ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Diffusion Wave ◽

Alternating Direction Implicit ◽

Galerkin Finite Element ◽

Alternating Direction

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Vectorization of the Odd–Even Hopscotch Scheme and the Alternating Direction Implicit Scheme for the Two-Dimensional Burgers Equations

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0911021 ◽

1990 ◽

Vol 11 (2) ◽

pp. 354-367 ◽

Cited By ~ 6

Author(s):

E. D. de Goede ◽

J. H. M. ten Thije Boonkkamp

Keyword(s):

Implicit Scheme ◽

Two Dimensional ◽

Alternating Direction Implicit ◽

Burgers Equations ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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Computational solutions of three-dimensional advection-diffusion equation using fourth order time efficient alternating direction implicit scheme

AIP Advances ◽

10.1063/1.4996341 ◽

2017 ◽

Vol 7 (8) ◽

pp. 085306 ◽

Cited By ~ 1

Author(s):

Muhammad Saqib ◽

Shahid Hasnain ◽

Daoud Suleiman Mashat

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Three Dimensional ◽

Implicit Scheme ◽

Alternating Direction Implicit ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.10.005 ◽

2019 ◽

Vol 136 ◽

pp. 139-151 ◽

Cited By ~ 7

Author(s):

Zeting Liu ◽

Fawang Liu ◽

Fanhai Zeng

Keyword(s):

Spectral Method ◽

Wave Equations ◽

Two Dimensional ◽

Diffusion Wave ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

And Diffusion

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An alternating direction implicit scheme for parabolic systems of partial differential equations

Computers & Mathematics with Applications ◽

10.1016/0898-1221(90)90030-n ◽

1990 ◽

Vol 20 (3) ◽

pp. 53-62 ◽

Cited By ~ 2

Author(s):

I.J.D. Craig ◽

A.D. Sneyd

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Systems ◽

Implicit Scheme ◽

Partial Differential ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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An alternating-direction implicit scheme for parabolic equations with mixed derivatives

Computers & Mathematics with Applications ◽

10.1016/0898-1221(88)90150-2 ◽

1988 ◽

Vol 16 (4) ◽

pp. 341-350 ◽

Cited By ~ 80

Author(s):

I.J.D. Craig ◽

A.D. Sneyd

Keyword(s):

Parabolic Equations ◽

Implicit Scheme ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Mixed Derivatives ◽

Alternating Direction Implicit Scheme

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An alternating direction implicit scheme of a fractional-order diffusion tensor image registration model

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.03.024 ◽

2019 ◽

Vol 356 ◽

pp. 105-118

Author(s):

Huan Han ◽

Zhanqing Wang

Keyword(s):

Image Registration ◽

Fractional Order ◽

Diffusion Tensor ◽

Implicit Scheme ◽

Diffusion Tensor Image ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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An Alternating Direction Implicit Scheme for Parabolic Equations with Mixed Derivative and Convective Terms

Journal of Computational Physics ◽

10.1006/jcph.1996.0120 ◽

1996 ◽

Vol 126 (1) ◽

pp. 64-76 ◽

Cited By ~ 35

Author(s):

S. McKee ◽

D.P. Wall ◽

S.K. Wilson

Keyword(s):

Parabolic Equations ◽

Implicit Scheme ◽

Mixed Derivative ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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Compact alternating direction implicit method for two-dimensional time fractional diffusion equation

Journal of Computational Physics ◽

10.1016/j.jcp.2011.12.010 ◽

2012 ◽

Vol 231 (6) ◽

pp. 2621-2633 ◽

Cited By ~ 95

Author(s):

Mingrong Cui

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Implicit Method ◽

Two Dimensional ◽

Alternating Direction Implicit Method ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Time Fractional Diffusion Equation

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NUMERICAL NOISE INTRODUCED BY THE ALTERNATING DIRECTION-IMPLICIT SCHEME IN FDTD FOR UWB SYSTEMS

International Journal on Wireless & Optical Communications ◽

10.1142/s0219799506000430 ◽

2006 ◽

Vol 03 (02) ◽

pp. 135-143 ◽

Cited By ~ 2

Author(s):

ARNAUD THIRY ◽

FUMIE COSTEN ◽

ANTHONY BROWN

Keyword(s):

Implicit Scheme ◽

Alternating Direction Implicit ◽

Numerical Noise ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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