Extension of Picard’s Successful Iteration Method to Numerical Solution of Second Order Initial Value Problem

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dc.contributor.authorK.A. Bello
dc.contributor.authorO.A. Taiwo
dc.contributor.authorA. Abubakar
dc.date.accessioned2026-04-28T11:45:03Z
dc.date.available2026-04-28T11:45:03Z
dc.date.issued2020
dc.description.abstractIn this paper, Picard’s successive iteration method, to obtain the numerical solution for second order initial value problem is derived. The derivation of the new method is purely based on differentiation of the general class of the problem, following the Picard’s first order iteration method steps with little modification and adjustment. The derived method is implemented on three numerical examples, and the result obtained converge positively to the exact solution as contained in literature.
dc.identifier.citation: Picard’s successive method, Initial Value Problem, Ordinary differential equation
dc.identifier.issn2616-0986
dc.identifier.urihttps://uilspace.unilorin.edu.ng/handle/123456789/17737
dc.language.isoen
dc.publisherFaculty of Natural Sciences, Ibrahim Badamasi Babangida University, Lapai, Niger State, Nigeria
dc.relation.ispartofseriesVol. 5, No: 21; 201-205
dc.titleExtension of Picard’s Successful Iteration Method to Numerical Solution of Second Order Initial Value Problem
dc.title.alternativeLapai Journal of Applied and Natural Sciences.
dc.typeArticle

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