Author： Leach J. Needham D.
Publisher： Springer Publishing Company
ISSN： 0044-2275
Source： Zeitschrift für angewandte Mathematik und Physik ZAMP, Vol.55, Iss.5, 2004-09, pp. : 756-768
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Abstract
In this paper we address an initial boundary value problem for a generalized Fisher equation. In particular we develop the matched asymptotic theory presented in Leach and Needham (2000) to consider the correction terms to the asymptotic approach to the wave-front of speed v = v*(≥ 2) as t (time) → ∞. We establish the precise form of these corrections, and demonstrate that the rate of approach to the wave-front is algebraic in t when v* = 2 (there being two cases), but exponential in t when v* > 2.
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