Nonlinear diffusion and stable period 2 solutions of a discrete reaction- diffusion model
type: Item
instance of: scholarly article
title: Nonlinear diffusion and stable period 2 solutions of a discrete reaction- diffusion model
zbMATH Open document ID: 0671.65084
DOI: 10.1016/0377-0427(89)90039-3
author: A. R. Mitchell
author: Schalk W. Schoombie
published in: Journal of Computational and Applied Mathematics
publication date: 1989-01-01T00:00:00Z
review text: By Euler in time and second order central differencing in space the authors discretize the nonlinear parabolic equation \(u_ t=1/(N+1)(u^{N+1})_{xx}+u(1-u)\) where the exponent N is equal to 0 or to 1. (Notice, please, the misprint in formula (1) of their paper.) They investigate the resulting discrete model for solutions of period 2 in space and for solutions of period 1 in space, 2 in time, and discuss their stability properties.
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 4098670
zbMATH Keywords: nonlinear diffusion
zbMATH Keywords: stable period 2 solutions
zbMATH Keywords: discrete
zbMATH Keywords: reaction- diffusion model
zbMATH Keywords: Euler methods in time
zbMATH Keywords: finite difference
zbMATH Keywords: method in space
zbMATH Keywords: stability
reviewed by: Rudolf Gorenflo
MaRDI profile type: Publication
full work available at URL: 0377-0427(89)90039-3
OpenAlex ID: W2059374371
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description: scientific article; zbMATH DE number 4098670