2020International Journal of Innovative Research and DevelopmentOpen access

One-Step Rational Integrators Method for Solving Initial Value Problems (IVPs) in Ordinary Differential Equations

Ebhohimen Fidelis, U. I. Osemwegie, Anetor Osemenkhian

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Abstract

In this paper work we designed one – Step Rational Integrators (OSRIs) of order 2k – 1 method for solving initial value problems (IVPs) in Ordinary Differential Equations (ODEs). The method was implemented and compared with other existing methods to ascertain the level of performance, in terms of results produced from solving some initial value problems. Problems involving modeling of real-life situation in an ordinary differential equation were handled by our method.

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What this paper is about

In this paper work we designed one – Step Rational Integrators (OSRIs) of order 2k – 1 method for solving initial value problems (IVPs) in Ordinary Differential Equations (ODEs). The method was implemented and compared with other existing methods to ascertain the level of performance, in terms of results produced from solving some initial value problems. Problems involving modeling of real-life situation in an ordinary differential equation were handled by our method.

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Available abstract

In this paper work we designed one – Step Rational Integrators (OSRIs) of order 2k – 1 method for solving initial value problems (IVPs) in Ordinary Differential Equations (ODEs). The method was implemented and compared with other existing methods to ascertain the level of performance, in terms of results produced from solving some initial value problems. Problems involving modeling of real-life situation in an ordinary differential equation were handled by our method.

Key concepts: Ordinary differential equation, Ode, Initial value problem, Mathematics, Bernoulli differential equation, Applied mathematics, Value (mathematics), Integrator

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