A non-standard finite difference scheme for an advection-diffusion-reaction equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3297 ◽

2014 ◽

Vol 38 (15) ◽

pp. 3308-3321 ◽

Author(s):

Wendi Qin ◽

Deqiong Ding ◽

Xiaohua Ding

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Diffusion Reaction ◽

Reaction Equation ◽

Advection Diffusion

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ANALYSIS OF A FINITE-DIFFERENCE SCHEME FOR A LINEAR ADVECTION–DIFFUSION–REACTION EQUATION

Journal of Sound and Vibration ◽

10.1006/jsvi.1999.2726 ◽

2000 ◽

Vol 236 (5) ◽

pp. 901-903 ◽

Author(s):

R.E. MICKENS

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Diffusion Reaction ◽

Reaction Equation ◽

Advection Diffusion

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Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson)

Computers & Mathematics with Applications ◽

10.1016/0898-1221(90)90217-8 ◽

1990 ◽

Vol 20 (11) ◽

pp. 37-46 ◽

Author(s):

Y. Cherruault ◽

M. Choubane ◽

J.M. Valleton ◽

J.C. Vincent

Keyword(s):

Asymptotic Behavior ◽

Finite Difference ◽

Difference Scheme ◽

Numerical Solution ◽

Finite Difference Scheme ◽

Diffusion Reaction ◽

Reaction Equation ◽

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Analysis of the unconditionally positive finite difference scheme for advection-diffusion-reaction equations with different regimes

10.1063/1.4951761 ◽

2016 ◽

Author(s):

A. R. Appadu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Diffusion Reaction ◽

Advection Diffusion ◽

Reaction Equations ◽

Advection Diffusion Reaction Equations

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A High-order Finite Difference Scheme for the 3D Unsteady Convection Diffusion Reaction Equation

应用数学和力学 ◽

10.21656/1000-0887.420151 ◽

2022 ◽

Vol 43 (0) ◽

pp. 1-11

Author(s):

WEI Jianying ◽

◽

◽

GE Yongbin

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Diffusion Reaction ◽

Reaction Equation ◽

Convection Diffusion ◽

High Order Finite Difference

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A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection–diffusion equation

Advances in Difference Equations ◽

10.1186/s13662-018-1537-7 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Syed Tauseef Mohyud-Din ◽

Tayyaba Akram ◽

Muhammad Abbas ◽

Ahmad Izani Ismail ◽

Norhashidah H. M. Ali

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

B Splines ◽

Fully Implicit ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Implicit Finite Difference Scheme ◽

Implicit Finite Difference

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A finite difference scheme for multidimensional convection–diffusion–reaction equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.06.002 ◽

2014 ◽

Vol 278 ◽

pp. 347-360 ◽

Author(s):

A. Kaya

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Diffusion Reaction ◽

Convection Diffusion ◽

Reaction Equations

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Analysis of a new finite-difference scheme for the linear advection-diffusion equation

Journal of Sound and Vibration ◽

10.1016/0022-460x(91)90768-f ◽

1991 ◽

Vol 146 (2) ◽

pp. 342-344 ◽

Author(s):

R.E. Mickens

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Exact Finite Difference Scheme for an Advection-Reaction Equation

The Journal of Difference Equations and Applications ◽

10.1080/1023619031000146931 ◽

2003 ◽

Vol 9 (11) ◽

pp. 1007-1013 ◽

Author(s):

Sandra Rucker

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Equation

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A note on a positivity preserving nonstandard finite difference scheme for a modified parabolic reaction–advection–diffusion PDE

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2020.1841755 ◽

2020 ◽

Vol 26 (11-12) ◽

pp. 1423-1427

Author(s):

Ronald E. Mickens ◽

Talitha M. Washington

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Positivity Preserving ◽

Advection Diffusion ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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Author's reply to comment on: A finite difference scheme for the incompressible advection-diffusion equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(76)90026-8 ◽

1976 ◽

Vol 8 (3) ◽

pp. 359 ◽

Author(s):

D.G. Briggs

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Advection Diffusion Equation ◽

Advection Diffusion

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