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Author Jones, W.B.; O'Brien, J.J.
Title Pseudo-spectral methods and linear instabilities in reaction-diffusion fronts Type $loc['typeJournal Article']
Year 1996 Publication Chaos (Woodbury, N.Y.) Abbreviated Journal Chaos
Volume 6 Issue 2 Pages 219-228
Abstract We explore the application of a pseudo-spectral Fourier method to a set of reaction-diffusion equations and compare it with a second-order finite difference method. The prototype cubic autocatalytic reaction-diffusion model as discussed by Gray and Scott [Chem. Eng. Sci. 42, 307 (1987)] with a nonequilibrium constraint is adopted. In a spatial resolution study we find that the phase speeds of one-dimensional finite amplitude waves converge more rapidly for the spectral method than for the finite difference method. Furthermore, in two dimensions the symmetry preserving properties of the spectral method are shown to be superior to those of the finite difference method. In studies of plane/axisymmetric nonlinear waves a symmetry breaking linear instability is shown to occur and is one possible route for the formation of patterns from infinitesimal perturbations to finite amplitude waves in this set of reaction-diffusion equations. (c) 1996 American Institute of Physics.
Address Advanced Systems Division, Silicon Graphics Inc., Mountain View, California 94043-1389COAPS, Florida State University, Tallahassee, Florida 32306-3041
Corporate Author Thesis
Publisher Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1054-1500 ISBN Medium
Area Expedition Conference
Funding PMID:12780250 Approved $loc['no']
Call Number COAPS @ mfield @ Serial 714
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