New perturbation-iteration solutions for nonlinear heat transfer equations

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dc.contributor.authorAksoy Y.
dc.contributor.authorPakdemirli M.
dc.contributor.authorAbbasbandy S.
dc.contributor.authorBoyaci H.
dc.date.accessioned2024-07-22T08:19:18Z
dc.date.available2024-07-22T08:19:18Z
dc.date.issued2012
dc.description.abstractPurpose - The purpose of this paper is to apply, for the first time, the authors' newly developed perturbation iteration method to heat transfer problems. The effectiveness of the new method in nonlinear heat transfer problems will be tested. Design/methodology/approach - Nonlinear heat transfer problems are solved by perturbation iteration method. They are also solved by the well-known technique variational iteration method in the literature. Findings - It is found that perturbation iteration solutions converge faster to the numerical solutions. More accurate results can be achieved with this new method for nonlinear heat transfer problems. Research limitations/implications - A few iterations are actually sufficient. Further iterations need symbolic packages to calculate the solutions. Practical implications - This new technique can practically be applied to many heat and flow problems. Originality/value - The new perturbation iteration technique is successfully implemented to nonlinear heat transfer problems. Results show good agreement with the direct numerical simulations and the method performs better than the existing variational iteration method. © Emerald Group Publishing Limited.
dc.identifier.DOI-ID10.1108/09615531211255725
dc.identifier.issn09615539
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17620
dc.language.isoEnglish
dc.subjectHeat transfer
dc.subjectMathematical techniques
dc.subjectPerturbation techniques
dc.subjectDesign/methodology/approach
dc.subjectFlow problems
dc.subjectHeat transfer problems
dc.subjectIteration method
dc.subjectIteration techniques
dc.subjectNonlinear heat transfer
dc.subjectNumerical solution
dc.subjectPerturbation method
dc.subjectPerturbation-iteration method
dc.subjectVariational iteration method
dc.subjectIterative methods
dc.titleNew perturbation-iteration solutions for nonlinear heat transfer equations
dc.typeArticle

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