A note on Richardson extrapolation as an error estimator for non-linear reaction-diffusion problems

Communications in Numerical Methods in Engineering ◽

10.1002/(sici)1099-0887(199707)13:7<533::aid-cnm78>3.0.co;2-7 ◽

1997 ◽

Vol 13 (7) ◽

pp. 533-540 ◽

Author(s):

R. O. ABBASIAN ◽

G. F. CAREY

Keyword(s):

Reaction Diffusion ◽

Richardson Extrapolation ◽

Error Estimator ◽

Linear Reaction ◽

Diffusion Problems

Download Full-text

A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109490 ◽

2020 ◽

Vol 415 ◽

pp. 109490 ◽

Author(s):

E.O. Asante-Asamani ◽

A. Kleefeld ◽

B.A. Wade

Keyword(s):

Reaction Diffusion ◽

Second Order ◽

Exponential Time ◽

Reaction Diffusion Systems ◽

Exponential Time Differencing ◽

Diffusion Systems ◽

Dimensional Splitting ◽

Linear Reaction ◽

Download Full-text

Singular Traveling Waves and Non-linear Reaction-Diffusion Equations

Computational Mathematics, Numerical Analysis and Applications - SEMA SIMAI Springer Series ◽

10.1007/978-3-319-49631-3_5 ◽

2017 ◽

pp. 189-194 ◽

Author(s):

Juan Calvo

Keyword(s):

Traveling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Linear Reaction ◽

Download Full-text

A monotone weighted average method for a non-linear reaction–diffusion problem

International Journal of Computer Mathematics ◽

10.1080/00207160500112811 ◽

2005 ◽

Vol 82 (8) ◽

pp. 1017-1031 ◽

Author(s):

Igor Boglaev

Keyword(s):

Average Method ◽

Weighted Average ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Weighted Average Method ◽

Linear Reaction ◽

Download Full-text

Quasi wavelet numerical approach of non-linear reaction diffusion and integro reaction-diffusion equation with Atangana–Baleanu time fractional derivative

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2019.109456 ◽

2020 ◽

Vol 130 ◽

pp. 109456 ◽

Author(s):

Sachin Kumar ◽

Prashant Pandey

Keyword(s):

Diffusion Equation ◽

Fractional Derivative ◽

Reaction Diffusion ◽

Numerical Approach ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

Time Fractional Derivative

Download Full-text

Travelling waves for a model non-linear reaction-diffusion system

Journal of Physics A General Physics ◽

10.1088/0305-4470/13/7/001 ◽

1980 ◽

Vol 13 (7) ◽

pp. L227-L229 ◽

Author(s):

P Kaliappan ◽

M Lakshmanan ◽

P K Ponnuswamy

Keyword(s):

Travelling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Linear Reaction ◽

Download Full-text

Analytical solution of system of coupled non-linear reaction diffusion equations. Part I: Mediated electron transfer at conducting polymer ultramicroelectrodes

Journal of Electroanalytical Chemistry ◽

10.1016/j.jelechem.2010.06.013 ◽

2010 ◽

Vol 647 (2) ◽

pp. 103-116 ◽

Author(s):

A. Meena ◽

L. Rajendran

Keyword(s):

Electron Transfer ◽

Analytical Solution ◽

Conducting Polymer ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Mediated Electron Transfer ◽

Linear Reaction ◽

Download Full-text

On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems

Computing ◽

10.1007/s006070070006 ◽

2000 ◽

Vol 65 (3) ◽

pp. 193-202 ◽

Author(s):

Maxim A. Olshanskii ◽

Arnold Reusken

Keyword(s):

Multigrid Method ◽

Reaction Diffusion ◽

Linear Reaction ◽

Diffusion Problems

Download Full-text

Homotopy perturbation Laplace transform solution of fractional non-linear reaction diffusion system of Lotka-Volterra type differential equation

Engineering Science and Technology an International Journal ◽

10.1016/j.jestch.2016.10.014 ◽

2017 ◽

Vol 20 (2) ◽

pp. 672-678 ◽

Author(s):

M.H. Tiwana ◽

K. Maqbool ◽

A.B. Mann

Keyword(s):

Differential Equation ◽

Laplace Transform ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Volterra Type ◽

Homotopy Perturbation ◽

Linear Reaction ◽

Type Differential Equation

Download Full-text

A heuristic control strategy for non-linear reaction-diffusion equations

International Journal of Control ◽

10.1080/00207178608933480 ◽

1986 ◽

Vol 43 (2) ◽

pp. 473-483

Author(s):

J. I. RAMOS

Keyword(s):

Control Strategy ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Linear Reaction ◽

Download Full-text

Approximate analytical solution of non-linear reaction diffusion equation in fluidized bed biofilm reactor

Natural Science ◽

10.4236/ns.2012.412127 ◽

2012 ◽

Vol 04 (12) ◽

pp. 983-991

Author(s):

Seetharaman Usha ◽

Shanmugarajan Anitha ◽

Lakshmanan Rajendran

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Fluidized Bed ◽

Approximate Analytical Solution ◽

Reaction Diffusion ◽

Biofilm Reactor ◽

Reaction Diffusion Equation ◽

Linear Reaction ◽

Download Full-text