A bounded numerical method for approximating a hyperbolic and convective generalization of Fisher's model with nonlinear damping
type: Item
instance of: scholarly article
title: A bounded numerical method for approximating a hyperbolic and convective generalization of Fisher's model with nonlinear damping
zbMATH Open document ID: 1242.65165
published in: Applied Mathematics Letters
publication date: 2012-05-18T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6036243
zbMATH Keywords: time-delayed convection-diffusion-reaction equation
zbMATH Keywords: finite-difference scheme
zbMATH Keywords: skew-symmetry preservation
zbMATH Keywords: positivity preservation
zbMATH Keywords: boundedness preservation
zbMATH Keywords: Fisher's equation
zbMATH Keywords: population dynamics
zbMATH Keywords: numerical examples
author: Jorge Eduardo Macías-Díaz
MaRDI profile type: Publication
full work available at URL: j.aml.2011.11.002
OpenAlex ID: W2065874324
cites work: Q5768532
cites work: Qualitative results for solutions of the steady Fisher-KPP equation.
cites work: Uniqueness of non-monotone traveling waves for delayed reaction-diffusion equations
cites work: Travelling wave solutions for some time-delayed equations through factorizations
cites work: Travelling wave solutions for time-delayed nonlinear evolution equations
cites work: Two characterizations of inverse-positive matrices: the Hawkins-Simon condition and the Le Chatelier-Braun principle
cites work: A positivity‐preserving nonstandard finite difference scheme for the damped wave equation
DOI: 10.1016/J.AML.2011.11.002
description: scientific article; zbMATH DE number 6036243