@Article{CiCP-3-3,
author = {Michael, McCourt and Nicholas, Dovidio and Michael, Gilbert},
title = {Spectral Methods for Resolving Spike Dynamics in the Geirer-Meinhardt Model},
journal = {Communications in Computational Physics},
year = {2008},
volume = {3},
number = {3},
pages = {659--678},
abstract = {<p style="text-align: justify;">The Gierer-Meinhardt reaction-diffusion model is analyzed using a spectral collocation method. This reaction-diffusion system is governed by activator and inhibitor concentrations. Initially, the system is considered in one dimension and then in two dimensions; numerical results are presented for both cases. The algorithmic complexity and accuracy are compared to those of a moving finite element method. Finally, observations are made concerning when to use the proposed spectral method as opposed to the established moving mesh method.&nbsp;</p>},
issn = {1991-7120},
doi = {https://doi.org/2008-CiCP-7869},
url = {https://global-sci.com/article/81216/spectral-methods-for-resolving-spike-dynamics-in-the-geirer-meinhardt-model}
}