RELIABLE FINITE DIFFERENCE SCHEMES WITH APPLICATIONS IN MATHEMATICAL ECOLOGY

DOI10.1142/9789812703316_0006zbMath1085.65068OpenAlexW2503114667MaRDI QIDQ3372238

Hristo V. Kojouharov, Dobromir T. Dimitrov, Benito M. Chen-Charpentier

Publication date: 20 February 2006

Published in: Advances in the Applications of Nonstandard Finite Difference Schemes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812703316_0006

zbMATH Keywords

numerical examplesRunge-Kutta methodsEuler methodautonomous dynamical systemsnonstandard finite-difference methodspolynomial right-hand sidesRosenzweig-MacArthur predator-prey systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Ecology (92D40) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference and finite volume methods for ordinary differential equations (65L12)

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