Optimal Perturbation Iteration Method for Solving Nonlinear Heat Transfer Equations

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dc.contributor.authorDeniz S.
dc.date.accessioned2024-07-22T08:10:36Z
dc.date.available2024-07-22T08:10:36Z
dc.date.issued2017
dc.description.abstractIn this paper, the new optimal perturbation iteration method (OPIM) is introduced and applied for solving nonlinear differential equations arising in heat transfer. The effectiveness of the proposed method will be tested by considering two specific applications: the temperature distribution equation in a thick rectangular fin radiation to free space and cooling of a lumped system with variable specific heat. Comparing different methods shows that the results obtained by optimal perturbation iteration method are very good agreement with the numerical solutions and perform better than the most existing analytic methods. Copyright © 2017 by ASME.
dc.identifier.DOI-ID10.1115/1.4036085
dc.identifier.issn00221481
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15296
dc.language.isoEnglish
dc.publisherAmerican Society of Mechanical Engineers (ASME)
dc.subjectDifferential equations
dc.subjectHeat transfer
dc.subjectIterative methods
dc.subjectNonlinear equations
dc.subjectNumerical methods
dc.subjectSpecific heat
dc.subjectAnalytic method
dc.subjectIteration method
dc.subjectNonlinear differential equation
dc.subjectNonlinear heat transfer
dc.subjectNumerical solution
dc.subjectOptimal perturbation
dc.subjectPerturbation method
dc.subjectVariable specific-heat
dc.subjectPerturbation techniques
dc.titleOptimal Perturbation Iteration Method for Solving Nonlinear Heat Transfer Equations
dc.typeArticle

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