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 ◽

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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Compact Alternating Direction Implicit Scheme for Integro-Differential Equations of Parabolic Type

Journal of Scientific Computing ◽

10.1007/s10915-017-0630-5 ◽

2018 ◽

Vol 76 (1) ◽

pp. 565-582 ◽

Author(s):

Leijie Qiao ◽

Da Xu

Keyword(s):

Differential Equations ◽

Parabolic Type ◽

Implicit Scheme ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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Alternating Direction Implicit Method for Solving Parabolic Partial Differential Equations in Three Dimensions

AL-Rafidain Journal of Computer Sciences and Mathematics ◽

10.33899/csmj.2012.163703 ◽

2012 ◽

Vol 9 (2) ◽

pp. 79-97

Author(s):

Abdulghafor Al-Rozbayani ◽

Mahmood Yahya

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Implicit Method ◽

Three Dimensions ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Alternating Direction Implicit Method ◽

Alternating Direction Implicit ◽

Alternating Direction

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Hybrid computer implementation of the alternating direction implicit procedure for the solution of two-dimensional, parabolic, partial-differential equations

AIChE Journal ◽

10.1002/aic.690160126 ◽

1970 ◽

Vol 16 (1) ◽

pp. 139-143 ◽

Author(s):

Kenneth A. Bishop ◽

Don W. Green

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Two Dimensional ◽

Computer Implementation ◽

Partial Differential ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Hybrid Computer

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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 ◽

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 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 ◽

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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On regular and parabolic systems of partial differential equations

Thirty-Five Scientific Communications from the All-Union Conference on Functional Analysis and its Applications. Jan. 17–24, 1956. Five Papers on Analysis - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/016/37 ◽

1960 ◽

pp. 464-468

Author(s):

S. D. Éĭdel′man

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Systems ◽

Partial Differential

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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 ◽

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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On the question of the stability of trivial solutions of parabolic systems of partial differential equations

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(66)90123-6 ◽

1966 ◽

Vol 6 (5) ◽

pp. 195-204

Author(s):

Z.A. Iskander-Zade

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Systems ◽

Partial Differential ◽

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The numerical solution of multidimensional partial differential equations by the explicit alternating direction (ead) method

International Journal of Computer Mathematics ◽

10.1080/00207169508804415 ◽

1995 ◽

Vol 57 (1-2) ◽

pp. 97-114

Author(s):

D.J. Evans ◽

A.R. Ahmed

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Partial Differential ◽

Alternating Direction

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