Title: Approximate of solution of a fourth order ordinary differential equations via tenth step block method

Authors: Guesh Simretab Gebremedhin; Saumya Ranjan Jena

Addresses: Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar-751024, Odisha, India ' Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar-751024, Odisha, India

Abstract: This paper carries a different approach of collection and interpolation to develop a tenth block method for the numerical solution of linear or nonlinear ordinary differential equations of fourth order with initial conditions. The method has been implemented at the selected mesh points to generate a direct tenth block method through Taylor series. Some critical properties of this method such as zero stability, order of the method, and convergence have been analysed. Two numerical tests have taken to make a comparison of the approximate results with exact as well as results of other authors.

Keywords: block method; collocation; interpolation; tenth-step; Taylor series; zero stability; convergence; absolute stability.

DOI: 10.1504/IJCSM.2020.106695

International Journal of Computing Science and Mathematics, 2020 Vol.11 No.3, pp.253 - 262

Received: 18 Aug 2017
Accepted: 12 Oct 2017

Published online: 04 Apr 2020 *

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