A finite-difference method for the numerical solution of the Sal’nikov thermokinetic oscillator problem

DOI10.1098/RSPA.1995.0043zbMath0828.65076OpenAlexW2052324377MaRDI QIDQ4837867

U. S. Herges, E. H. Twizell

Publication date: 10 January 1996

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1995.0043

zbMATH Keywords

fixed pointsnumerical resultslimit cyclesunconditional stabilityfinite-difference methodsemi-implicit methodspurious chaosSal'nikov thermokinetic oscillator problem

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Chemical kinetics in thermodynamics and heat transfer (80A30) Finite difference and finite volume methods for ordinary differential equations (65L12)

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