Numerical simulation of reaction–diffusion equations on spherical domains

Faridon Amdjadi

doi:10.1016/j.cnsns.2007.03.008

Numerical simulation of reaction–diffusion equations on spherical domains

Faridon Amdjadi

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

The two-variable reaction diffusion equations on the spherical domain is considered and simulated, using the semi-implicit Euler finite difference method. It is shown that the method keeps the kinetics from overshooting the stable branches when a large time step is used in the simulation.

Original language	English
Pages (from-to)	1592-1595
Number of pages	4
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	13
Issue number	8
Early online date	28 Mar 2007
DOIs	https://doi.org/10.1016/j.cnsns.2007.03.008
Publication status	Published - Oct 2008

Keywords

spiral waves
reaction–diffusion equations
spherical domains

Documents and Links

10.1016/j.cnsns.2007.03.008

Cite this

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title = "Numerical simulation of reaction–diffusion equations on spherical domains",

abstract = "The two-variable reaction diffusion equations on the spherical domain is considered and simulated, using the semi-implicit Euler finite difference method. It is shown that the method keeps the kinetics from overshooting the stable branches when a large time step is used in the simulation.",

keywords = "spiral waves, reaction–diffusion equations, spherical domains",

author = "Faridon Amdjadi",

note = "<p>Originally published in: Communications in Nonlinear Science and Numerical Simulation (2008), 13 (8), pp.1592-1595.</p> Publication details updated TM 14-11-16",

year = "2008",

month = oct,

doi = "10.1016/j.cnsns.2007.03.008",

language = "English",

volume = "13",

pages = "1592--1595",

journal = "Communications in Nonlinear Science and Numerical Simulation",

publisher = "Elsevier B.V.",

number = "8",

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T1 - Numerical simulation of reaction–diffusion equations on spherical domains

AU - Amdjadi, Faridon

N1 - <p>Originally published in: Communications in Nonlinear Science and Numerical Simulation (2008), 13 (8), pp.1592-1595.</p> Publication details updated TM 14-11-16

PY - 2008/10

Y1 - 2008/10

N2 - The two-variable reaction diffusion equations on the spherical domain is considered and simulated, using the semi-implicit Euler finite difference method. It is shown that the method keeps the kinetics from overshooting the stable branches when a large time step is used in the simulation.

AB - The two-variable reaction diffusion equations on the spherical domain is considered and simulated, using the semi-implicit Euler finite difference method. It is shown that the method keeps the kinetics from overshooting the stable branches when a large time step is used in the simulation.

KW - spiral waves

KW - reaction–diffusion equations

KW - spherical domains

U2 - 10.1016/j.cnsns.2007.03.008

DO - 10.1016/j.cnsns.2007.03.008

M3 - Article

VL - 13

SP - 1592

EP - 1595

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 8

ER -

Numerical simulation of reaction–diffusion equations on spherical domains

Abstract

Keywords

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