A two-step conditionally bounded numerical integrator to approximate some traveling-wave solutions of a diffusion-reaction equation

DOI10.2140/INVOLVE.2012.5.219zbMath1268.65116OpenAlexW2005542539MaRDI QIDQ1950936

Jorge Eduardo Macías-Díaz, Siegfried Macías

Publication date: 28 May 2013

Published in: Involve (Search for Journal in Brave)

Full work available at URL: http://msp.org/involve/2012/5-2/p07.xhtml

zbMATH Keywords

numerical examplespopulation dynamics\(M\)-matricesFisher's equationfinite-difference schemeinverse-positive matricestraveling-wave solutionbounded/positive solutionsboundedness/positivity preservationFisher-Kolmogorov-Petrovsky-Piskunov equationwave-front solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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