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Research Article Open access CC BY 4.0

Implicit Hybrid Points Approach For Solving General Second Order Ordinary Differential Equations With Initial Values

O. O. Olanegan, B. G. Ogunware, C. O. Alakofa

Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 31 May 2018

10.9734/JAMCS/2018/40447

Abstract

This article focuses on the development of implicit hybrid method for the general solution of second order ordinary differential equations with initial values (IVPs). The method of collocation and interpolation of power series was used to derive the method, while Taylor series is used to develop and analyze the predictors The method is found to be consistent and zero-stable. The method shows to be more efficient and accurate when compared with existing work by other authors.

Power series Taylor’s series implicit method initial values problems (IVPs) first order ordinary differential equations (ODEs).

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