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Ogunrinde, R.B. (2010) A New Numerical Scheme for the Solution of Initial Value Problem (IVP) in Ordinary Differential Equations. Ph.D. Thesis, Ekiti State University, Ado Ekiti.

has been cited by the following article:

• TITLE: Stability Analysis of a Numerical Integrator for Solving First Order Ordinary Differential Equation

  AUTHORS: Samuel Olukayode Ayinde, Adesoji Abraham Obayomi, Funmilayo Sarah Adebayo

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.11, November 16, 2017

  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.