A non-standard numerical approach to the solution of some second-order ordinary differential equations

DOI10.1142/S179355711550076XzbMath1341.65028OpenAlexW1901266907MaRDI QIDQ3462009

Michael Olufemi Oke, A. Adesoji Obayomi

Publication date: 4 January 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179355711550076x

zbMATH Keywords

numerical examplefinite difference methodinitial value problemdiscrete modelnon-standard methodsnon-local approximationrenormalized denominator functions

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (3)

On the convergence of Mickens' type nonstandard finite difference schemes on Lane-Emden type equations ⋮ On the choice of denominator functions and convergence of NSFD schemes for a class of nonlinear SBVPs ⋮ Applications of modified Mickens-type NSFD schemes to Lane-Emden equations

Cites Work

• Studies in Numerical Nonlinear Instability I. Why do Leapfrog Schemes Go Unstable?
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