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Research Article Open access CC BY 4.0

Non-standard Numerical Approaches for Solutions of Some Second Order Ordinary Differential Equations

Adesoji Obayomi

Journal of Advances in Mathematics and Computer Science · pp. 120–129 · Published 3 Feb 2015

10.9734/BJMCS/2015/15620

Abstract

A set of non-standard discrete models are constructed for the solution of non-homogenous second order equation. The method of non-local approximation and renormalization of the discretization functions have been applied to some examples and the result has shown that the schemes behave qualitatively like the original equation.

Nonstandard methods renormalized denominator functions initial value problems non-local approximation discrete models.

Cited by 2

On the convergence of Mickens’ type nonstandard finite difference schemes on Lane-Emden type equations

A. Verma, Sheerin Kayenat · Journal of Mathematical Chemistry · 2018

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