Computational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points

A Block of hybrid method with three off-step points based is presented in this work for direct approximation of solution of third-order Initial and Boundary Value Problems (IVPs and BVPs). This off-step points are formulated such that they exist only on a single step at a time. Hence, these points...

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Autores principales:	Mark I. Modebei, Olumide O. Olaiya, Ignatius P. Ngwongwo
Formato:	article
Lenguaje:	EN
Publicado:	Nigerian Society of Physical Sciences 2021
Materias:	Third Order Ordinary Differential Equation Initial Value Problem Boundary Value Problems Linear Multistep Hybrid Method Physics QC1-999
Acceso en línea:	https://doaj.org/article/9fbbe6f0fb6341d5b9890a8b3a27e054
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spelling	oai:doaj.org-article:9fbbe6f0fb6341d5b9890a8b3a27e0542021-11-30T12:19:07ZComputational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points10.46481/jnsps.2021.3232714-28172714-4704https://doaj.org/article/9fbbe6f0fb6341d5b9890a8b3a27e0542021-11-01T00:00:00Zhttps://journal.nsps.org.ng/index.php/jnsps/article/view/323https://doaj.org/toc/2714-2817https://doaj.org/toc/2714-4704 A Block of hybrid method with three off-step points based is presented in this work for direct approximation of solution of third-order Initial and Boundary Value Problems (IVPs and BVPs). This off-step points are formulated such that they exist only on a single step at a time. Hence, these points are shifted to three positions respectively in order to obtain three different integrators for computational analysis. These analysis includes; order of the methods, consistency, stability and convergence, global error, number of functions evaluation and CPU time. The superiority of these methods over existing methods is established numerically on different test problems in literature Mark I. ModebeiOlumide O. OlaiyaIgnatius P. NgwongwoNigerian Society of Physical SciencesarticleThird Order Ordinary Differential EquationInitial Value ProblemBoundary Value ProblemsLinear MultistepHybrid MethodPhysicsQC1-999ENJournal of Nigerian Society of Physical Sciences, Vol 3, Iss 4 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Third Order Ordinary Differential Equation Initial Value Problem Boundary Value Problems Linear Multistep Hybrid Method Physics QC1-999
spellingShingle	Third Order Ordinary Differential Equation Initial Value Problem Boundary Value Problems Linear Multistep Hybrid Method Physics QC1-999 Mark I. Modebei Olumide O. Olaiya Ignatius P. Ngwongwo Computational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points
description	A Block of hybrid method with three off-step points based is presented in this work for direct approximation of solution of third-order Initial and Boundary Value Problems (IVPs and BVPs). This off-step points are formulated such that they exist only on a single step at a time. Hence, these points are shifted to three positions respectively in order to obtain three different integrators for computational analysis. These analysis includes; order of the methods, consistency, stability and convergence, global error, number of functions evaluation and CPU time. The superiority of these methods over existing methods is established numerically on different test problems in literature
format	article
author	Mark I. Modebei Olumide O. Olaiya Ignatius P. Ngwongwo
author_facet	Mark I. Modebei Olumide O. Olaiya Ignatius P. Ngwongwo
author_sort	Mark I. Modebei
title	Computational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points
title_short	Computational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points
title_full	Computational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points
title_fullStr	Computational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points
title_full_unstemmed	Computational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points
title_sort	computational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points
publisher	Nigerian Society of Physical Sciences
publishDate	2021
url	https://doaj.org/article/9fbbe6f0fb6341d5b9890a8b3a27e054
work_keys_str_mv	AT markimodebei computationalstudyofa3stephybridintegratorsforthirdorderordinarydifferentialequationswithshiftofthreeoffsteppoints AT olumideoolaiya computationalstudyofa3stephybridintegratorsforthirdorderordinarydifferentialequationswithshiftofthreeoffsteppoints AT ignatiuspngwongwo computationalstudyofa3stephybridintegratorsforthirdorderordinarydifferentialequationswithshiftofthreeoffsteppoints
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Computational study of a 3-step hybrid integrators for third order ordinary differential equations with shift of three off-step points

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