Title: Order six generalised hybrid block method for the solution of third order initial value problems

Authors: Ra'ft Abdelrahim

Addresses: Department of Mathematics, College of Art and Sciences – Tabarjal, Al Jouf University, Saudi Arabia

Abstract: In this article, a generalise two step method with two off step points that gives better approximate solution for third order IVP of ODEs is examined. Method of collocation and interpolation is used where approximated power series is considered as basis function. The stability properties of the method is established and the method is applied to variety of test problems. The results generated proved the superiority of the new method over existing methods in terms of error.

Keywords: hybrid method; block method; third order; initial value problem; power series; two off step points; collocation; interpolation.

DOI: 10.1504/IJMOR.2020.110030

International Journal of Mathematics in Operational Research, 2020 Vol.17 No.3, pp.353 - 370

Received: 28 Dec 2018
Accepted: 16 Jun 2019
Published online: 01 Oct 2020 *

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