Comparison and successive iteration of approximate solution of ordinary differential equations with initial conditions by the new modified Krasnoselskii iteration method

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dc.contributor.authorBildik N.
dc.contributor.authorBakir Y.
dc.contributor.authorMutlu A.
dc.date.accessioned2024-07-22T08:18:54Z
dc.date.available2024-07-22T08:18:54Z
dc.date.issued2013
dc.description.abstractIn this paper, we used the Picard successive iteration method and the new modified Krasnoselskii iteration method in order to solve different types of ordinary linear differential equations having initial conditions. By applying the new modified Krasnoselskii iteration method, not only do we obtain the approximate solutions for the problem, but also establish the corresponding iterative schemes. Finally, it is shown that the accuracy of the new iteration method (called the new modified Krasnoselskii iteration method) is substantially improved by employing variable steps which adjust themselves to the solution of the differential equation. © 2013 Sharif University of Technology. All rights reserved.
dc.identifier.issn10263098
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17461
dc.language.isoEnglish
dc.publisherSharif University of Technology
dc.subjectNumerical analysis
dc.subjectNumerical methods
dc.subjectOrdinary differential equations
dc.subjectApproximate solution
dc.subjectEuler method
dc.subjectFixed points
dc.subjectInitial conditions
dc.subjectIteration method
dc.subjectIterative schemes
dc.subjectOrdinary linear differential equations
dc.subjectSuccessive iteration
dc.subjectaccuracy assessment
dc.subjectEulerian analysis
dc.subjectlinear programing
dc.subjectIterative methods
dc.titleComparison and successive iteration of approximate solution of ordinary differential equations with initial conditions by the new modified Krasnoselskii iteration method
dc.typeArticle

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