TY - JOUR
T1 - Numerical Investigations of the Dynamical Behaviors and Instabilities for the Gierer-Meinhardt System
AU - Zhonghua Qiao
JO - Communications in Computational Physics
VL - 2
SP - 406
EP - 426
PY - 2008
DA - 2008/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7861.html
KW - 
AB - <p style="text-align: justify;">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.</p>