A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations

A new higher-implicit block method for the direct numerical solution of fourth order ordinary differential equation is derived in this research paper. The formulation of the new formula which is 15-step, is achieved through interpolation and collocation techniques. The basic numerical properties o...

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Autores principales:	Victor Oboni Atabo, Solomon Ortwer Adee
Formato:	article
Lenguaje:	EN
Publicado:	Nigerian Society of Physical Sciences 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/9fc19da5d3ba49748dec158aada60b05
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spelling	oai:doaj.org-article:9fc19da5d3ba49748dec158aada60b052021-12-01T12:19:31ZA New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations10.46481/jnsps.2021.3372714-28172714-4704https://doaj.org/article/9fc19da5d3ba49748dec158aada60b052021-11-01T00:00:00Zhttps://journal.nsps.org.ng/index.php/jnsps/article/view/337https://doaj.org/toc/2714-2817https://doaj.org/toc/2714-4704 A new higher-implicit block method for the direct numerical solution of fourth order ordinary differential equation is derived in this research paper. The formulation of the new formula which is 15-step, is achieved through interpolation and collocation techniques. The basic numerical properties of the method such as zero-stability, consistency and A-stability have been examined. Investigation showed that the new method is zero stable, consistent and A-stable, hence convergent. Test examples from recent literature have been used to confirm the accuracy of the new method. Victor Oboni AtaboSolomon Ortwer AdeeNigerian Society of Physical SciencesarticlePhysicsQC1-999ENJournal of Nigerian Society of Physical Sciences, Vol 3, Iss 4 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Victor Oboni Atabo Solomon Ortwer Adee A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations
description	A new higher-implicit block method for the direct numerical solution of fourth order ordinary differential equation is derived in this research paper. The formulation of the new formula which is 15-step, is achieved through interpolation and collocation techniques. The basic numerical properties of the method such as zero-stability, consistency and A-stability have been examined. Investigation showed that the new method is zero stable, consistent and A-stable, hence convergent. Test examples from recent literature have been used to confirm the accuracy of the new method.
format	article
author	Victor Oboni Atabo Solomon Ortwer Adee
author_facet	Victor Oboni Atabo Solomon Ortwer Adee
author_sort	Victor Oboni Atabo
title	A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations
title_short	A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations
title_full	A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations
title_fullStr	A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations
title_full_unstemmed	A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations
title_sort	new special 15-step block method for solving general fourth order ordinary differential equations
publisher	Nigerian Society of Physical Sciences
publishDate	2021
url	https://doaj.org/article/9fc19da5d3ba49748dec158aada60b05
work_keys_str_mv	AT victoroboniatabo anewspecial15stepblockmethodforsolvinggeneralfourthorderordinarydifferentialequations AT solomonortweradee anewspecial15stepblockmethodforsolvinggeneralfourthorderordinarydifferentialequations AT victoroboniatabo newspecial15stepblockmethodforsolvinggeneralfourthorderordinarydifferentialequations AT solomonortweradee newspecial15stepblockmethodforsolvinggeneralfourthorderordinarydifferentialequations
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A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations

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