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.
| Original language | English |
|---|---|
| Pages (from-to) | 406-426 |
| Number of pages | 21 |
| Journal | Communications in Computational Physics |
| Volume | 3 |
| Issue number | 2 |
| Publication status | Published - 1 Feb 2008 |
| Externally published | Yes |
Keywords
- Gierer-Meinhardt model
- Moving finite element method
- Pulse splitting
- Spikes
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)