Stability Analysis of a Numerical Integrator for Solving First Order Ordinary Differential Equation - Journal of Applied Mathematics and Physics

JAMP > Vol.5 No.11, November 2017

Journal of Applied Mathematics and Physics

Volume 5, Issue 11 (November 2017)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

Stability Analysis of a Numerical Integrator for Solving First Order Ordinary Differential Equation ()

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DOI: 10.4236/jamp.2017.511179 1,112 Downloads 2,301 Views Citations

Author(s)

Samuel Olukayode Ayinde^1*, Adesoji Abraham Obayomi¹, Funmilayo Sarah Adebayo²

Affiliation(s)

¹Department of Mathematics, Faculty of Science, Ekiti State University, Ado Ekiti, Nigeria.
²Federal Polytechnic, Ado Ekiti, Nigeria.

ABSTRACT

In this paper, we used an interpolation function to derive a Numerical Integrator that can be used for solving first order Initial Value Problems in Ordinary Differential Equation. The numerical quality of the Integrator has been analyzed to authenticate the reliability of the new method. The numerical test showed that the finite difference methods developed possess the same monotonic properties with the analytic solution of the sampled Initial Value Problems.

KEYWORDS

Numerical Integrator, Autonomous and Non-Autonomous, Ordinary Differential Equation, Initial Value Problems, Stability Analysis

Share and Cite:

Olukayode Ayinde, S. , Obayomi, A. and Adebayo, F. (2017) Stability Analysis of a Numerical Integrator for Solving First Order Ordinary Differential Equation. Journal of Applied Mathematics and Physics, 5, 2196-2204. doi: 10.4236/jamp.2017.511179.

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