Numerical Investigations of the Dynamical Behaviors and Instabilities for the Gierer-Meinhardt System
Year: 2008
Communications in Computational Physics, Vol. 3 (2008), Iss. 2 : pp. 406–426
Abstract
This work is concerned with the numerical simulations on the Gierer-Meinhardt activator-inhibitor models. We consider the case when the inhibitor time constant τ is non-zero. In this case, oscillations and pulse splitting are observed numerically. Numerical experiments are carried out to investigate the dynamical behaviors and instabilities of the spike patterns. The numerical schemes used are based upon an efficient moving mesh finite element method which distributes more grid points near the localized spike regions.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-CiCP-7861
Communications in Computational Physics, Vol. 3 (2008), Iss. 2 : pp. 406–426
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21