On a conditionally stable nonlinear method to approximate some monotone and bounded solutions of a generalized population model

DOI10.1016/j.amc.2013.12.052zbMath1365.92101OpenAlexW1988791878MaRDI QIDQ530041

Katarzyna A. Rejniak, Jorge Eduardo Macías-Díaz

Publication date: 9 June 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.052

zbMATH Keywords

monotonicityboundednesspositivitynonlinear stabilityfinite-difference methodgeneralized population model

Mathematics Subject Classification ID

Population dynamics (general) (92D25)

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Cites Work

• An explicit positivity-preserving finite-difference scheme for the classical Fisher-Kolmogorov-Petrovsky-Piscounov equation
• Split Newton iterative algorithm and its application
• A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell-Whitehead-Segel equation
• Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
• An approximation scheme for a nonlinear diffusion Fisher's equation
• A boundedness-preserving finite-difference scheme for a damped nonlinear wave equation
• Haar wavelet method for solving Fisher's equation
• Multidimensional nonlinear diffusion arising in population genetics
• Traveling wave solutions for nonlinear equations using symbolic computation
• The tanh method for traveling wave solutions of nonlinear equations
• Sufficient conditions for the preservation of the boundedness in a numerical method for a physical model with transport memory and nonlinear damping
• A finite-difference scheme to approximate non-negative and bounded solutions of a FitzHugh–Nagumo equation
• Solitary wave solutions of the generalised Burgers-Huxley equation
• Two characterizations of inverse-positive matrices: the Hawkins-Simon condition and the Le Chatelier-Braun principle
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