Title
Traveling wave solutions for an autocatalytic reaction–diffusion model
Abstract
In this paper we consider an autocatalytic reaction-diffusion model which has many applications. We extend previous results using qualitative analysis and show the existence of an exponentially decaying traveling wave front for a minimum speed and algebraically decaying wave fronts for large speeds. Further, the wave front profiles are calculated and the minimum speed is accurately determined using different numerical methods. (c) 2012 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2013
10.1016/j.cnsns.2012.07.022
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Reaction–diffusion equations,Traveling waves,Fronts,Numerical computations
Journal
18
Issue
ISSN
Citations 
2
1007-5704
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
m b a mansour100.34