Spectral algorithms for reaction-diffusion equations
File(s)1810.07431v1.pdf (911.74 KB)
Working paper
Author(s)
Craster, Richard V
Sassi, Roberto
Type
Working Paper
Abstract
A collection of codes (in MATLAB & Fortran 77), and examples, for solving reaction-diffusion equations in one and two space dimensions is presented. In areas of the mathematical community spectral methods are used to remove the stiffness associated with the diffusive terms in a reaction-diffusion model allowing explicit high order timestepping to be used. This is particularly valuable for two (and higher) space dimension problems. Our aim here is to provide codes, together with examples, to allow practioners to easily utilize, understand and implement these ideas; we incorporate recent theoretical advances such as exponential time differencing methods and provide timings and error comparisons with other more standard approaches. The examples are chosen from the literature to illustrate points and queries that naturally arise.
Date Issued
2018-10-17
Citation
2018
Publisher
arXiv
Copyright Statement
© 2006 Universita degli studi di Milano, Polo didattico e di ricerca di Crema. Licensed under a Creative Commons Attribution 4.0 International licence (CC BY 4.0 - https://creativecommons.org/licenses/by/4.0/)
Identifier
http://arxiv.org/abs/1810.07431v1
Subjects
math.NA
math.NA
G.1.8
Publication Status
Published