Comparison of Finite Difference Solution Methods for Reaction Diffusion System in Two Dimensions

AL-Rafidain Journal of Computer Sciences and Mathematics ◽

10.33899/csmj.2011.163605 ◽

2011 ◽

Vol 8 (1) ◽

pp. 21-36

Author(s):

Abbas Al-Bayati ◽

Saad Manaa ◽

Abdulghafor Al-Rozbayani

Keyword(s):

Finite Difference ◽

Reaction Diffusion ◽

Two Dimensions ◽

Reaction Diffusion System ◽

Diffusion System ◽

Solution Methods ◽

Finite Difference Solution ◽

Difference Solution

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A finite difference method on layer-adapted meshes for an elliptic reaction-diffusion system in two dimensions

Mathematics of Computation ◽

10.1090/s0025-5718-08-02125-x ◽

2008 ◽

Vol 77 (264) ◽

pp. 2085-2096 ◽

Author(s):

R. Bruce Kellogg ◽

Torsten Linss ◽

Martin Stynes

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Reaction Diffusion ◽

Two Dimensions ◽

Reaction Diffusion System ◽

Diffusion System

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Positive solutions and dynamics of a finite difference reaction-diffusion system

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690090307 ◽

1993 ◽

Vol 9 (3) ◽

pp. 285-311 ◽

Author(s):

C. V. Pao

Keyword(s):

Finite Difference ◽

Positive Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System

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New Finite-Difference Solution Methods for Wave Instability Problems

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407798608552492 ◽

1986 ◽

Vol 10 (1) ◽

pp. 1-18

Author(s):

S. L. Lee ◽

T. S. Chen ◽

B. F. Armaly

Keyword(s):

Finite Difference ◽

Wave Instability ◽

Solution Methods ◽

Finite Difference Solution ◽

Difference Solution

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NEW FINITE-DIFFERENCE SOLUTION METHODS FOR WAVE INSTABILITY PROBLEMS

Numerical Heat Transfer ◽

10.1080/10407788608913505 ◽

1986 ◽

Vol 10 (1) ◽

pp. 1-18 ◽

Author(s):

S. L. Lee ◽

T. S. Chen ◽

B. F. Armaly

Keyword(s):

Finite Difference ◽

Wave Instability ◽

Solution Methods ◽

Finite Difference Solution ◽

Difference Solution

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Finite Difference Implicit Schemes to Coupled Two-Dimension Reaction Diffusion System

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2018.64066 ◽

2018 ◽

Vol 06 (04) ◽

pp. 737-753

Author(s):

Shahid Hasnain ◽

Muhammad Saqib ◽

Nawaf Al-Harbi

Keyword(s):

Finite Difference ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Dimension ◽

Implicit Schemes

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Solving a reaction–diffusion system with chemotaxis and non-local terms using Generalized Finite Difference Method. Study of the convergence

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113325 ◽

2021 ◽

Vol 389 ◽

pp. 113325

Author(s):

J.J. Benito ◽

A. García ◽

L. Gavete ◽

M. Negreanu ◽

F. Ureña ◽

...

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

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Effect of bias in a reaction-diffusion system in two dimensions

Physical Review E ◽

10.1103/physreve.99.052123 ◽

2019 ◽

Vol 99 (5) ◽

Author(s):

Pratik Mullick ◽

Parongama Sen

Keyword(s):

Reaction Diffusion ◽

Two Dimensions ◽

Reaction Diffusion System ◽

Diffusion System

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Global attractor of a coupled finite difference reaction diffusion system with delays

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2003.08.011 ◽

2003 ◽

Vol 288 (1) ◽

pp. 251-273 ◽

Author(s):

C.V. Pao

Keyword(s):

Finite Difference ◽

Global Attractor ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System

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An optimal edge based finite difference solution to the vector Helmholtz equation in two dimensions

IEEE Transactions on Magnetics ◽

10.1109/20.767242 ◽

1999 ◽

Vol 35 (3) ◽

pp. 1462-1465

Author(s):

Kishore Rama Rao ◽

R. Lee

Keyword(s):

Finite Difference ◽

Helmholtz Equation ◽

Two Dimensions ◽

Finite Difference Solution ◽

Difference Solution

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Convergence Analysis of The Finite Difference Solution for Two Dimensions Coupled-Benjamin-Bona-Mahony System

AL-Rafidain Journal of Computer Sciences and Mathematics ◽

10.33899/csmj.2013.163480 ◽

2013 ◽

Vol 10 (2) ◽

pp. 129-141

Author(s):

Ekhlass Al-Rawi ◽

Muhannad Shallal

Keyword(s):

Finite Difference ◽

Convergence Analysis ◽

Two Dimensions ◽

Finite Difference Solution ◽

Difference Solution

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