New perturbation-iteration solutions for Bratu-type equations

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dc.contributor.authorAksoy Y.
dc.contributor.authorPakdemirli M.
dc.date.accessioned2024-07-22T08:21:06Z
dc.date.available2024-07-22T08:21:06Z
dc.date.issued2010
dc.description.abstractPerturbation-iteration theory is systematically generated for both linear and nonlinear second-order differential equations and applied to Bratu-type equations. Different perturbation-iteration algorithms depending upon the number of Taylor expansion terms are proposed. Using the iteration formulas derived using different perturbation-iteration algorithms, new solutions of Bratu-type equations are obtained. Solutions constructed using different perturbation-iteration algorithms are contrasted with each other as well as with numerical solutions. It is found that algorithms with more Taylor series expansion terms yield more accurate results. © 2010 Elsevier Ltd. All rights reserved.
dc.identifier.DOI-ID10.1016/j.camwa.2010.01.050
dc.identifier.issn08981221
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/18467
dc.language.isoEnglish
dc.subjectAlgorithms
dc.subjectDifferential equations
dc.subjectNonlinear equations
dc.subjectPerturbation techniques
dc.subjectTaylor series
dc.subjectIteration algorithms
dc.subjectIteration theory
dc.subjectNew solutions
dc.subjectNumerical solution
dc.subjectPerturbation method
dc.subjectSecond-order differential equation
dc.subjectTaylor expansions
dc.subjectTaylor series expansions
dc.subjectIterative methods
dc.titleNew perturbation-iteration solutions for Bratu-type equations
dc.typeArticle

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