Spectral Methods for Resolving Spike Dynamics in the Geirer-Meinhardt Model

Spectral Methods for Resolving Spike Dynamics in the Geirer-Meinhardt Model

Year:    2008

Communications in Computational Physics, Vol. 3 (2008), Iss. 3 : pp. 659–678

Abstract

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. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-CiCP-7869

Communications in Computational Physics, Vol. 3 (2008), Iss. 3 : pp. 659–678

Published online:    2008-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords: