On the Nonstandard approach to the Numerical Solution of Ordinary Differential Equations

Obayomi Abraham Adesoji

doi:https://doi.org/10.14445/22315373/IJMTT-V17P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 17 | Number 2 | Year 2015 | Article Id. IJMTT-V17P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V17P511

On the Nonstandard approach to the Numerical Solution of Ordinary Differential Equations

Obayomi Abraham Adesoji

Abstract

A set of new discrete models have been created using Nonstandard methods. A new renormalized denominator function has been derived. This has been applied to some special initial value problems in ordinary differential equation. Result from a suitable numerical solver created from these schemes showed that , the schemes are suitable and they carry along the dynamics of the original equation.

Keywords

Nonstandard methods, Renormalized denominator functions, Initial value problems Non-local approximation, Discrete models

References

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Citation :

Obayomi Abraham Adesoji, "On the Nonstandard approach to the Numerical Solution of Ordinary Differential Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 17, no. 2, pp. 82-88, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V17P511