Obayomi, A.A. (2012) A Set of Non-Standard Finite Difference Schemes for the Solution of an Equation of the Type . International Journal of Pure and Applied Sciences and Technology, 12, 34-42.

has been cited by the following article:

• TITLE: Solution of Some Second Order Ordinary Differential Equations Using a Derived Algorithm

  AUTHORS: R. B. Ogunrinde, J. O. Olubunmi

  KEYWORDS: Numerical Scheme, Ordinary Differential Equation, Scheme Development

  JOURNAL NAME: Applied Mathematics, Vol.10 No.5, May 21, 2019

  ABSTRACT: We emphasized explicitly on the derivation and implementation of a new numerical algorithm scheme which gave stable results that show the applicability of the method. In this paper, we aimed to solve some second order initial value problems of ordinary differential equations and compare the results with the theoretical solution. Using this method to solve some initial value problems of second order ordinary differential equations, we discovered that the results compared favorably with the theoretical solution which led to the conclusion that the new numerical algorithm scheme derived in the research is approximately correct and can be prescribed for any related ordinary differential equations.