Review of the new perturbation-iteration method

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dc.contributor.authorPakdemirli M.
dc.date.accessioned2024-07-22T08:18:40Z
dc.date.available2024-07-22T08:18:40Z
dc.date.issued2013
dc.description.abstractThe new perturbation iteration method developed by Pakdemirli and co-workers are reviewed. First, applications of the method to algebraic equations are discussed and some new root-finding algorithms developed by this method are given. Next, the applications of the new method to first order, second order and systems of first order ordinary differential equations are discussed. Three sample problems are selected. Results are compared with analytical solutions, solutions by other methods and numerical solutions. The new perturbation iteration method is an effective method that does not require small parameter assumption as in classical perturbation methods.
dc.identifier.DOI-ID10.3390/mca18030139
dc.identifier.issn1300686X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17379
dc.language.isoEnglish
dc.publisherAssociation for Scientific Research
dc.rightsAll Open Access; Gold Open Access
dc.subjectAlgebra
dc.subjectIntegral equations
dc.subjectIterative methods
dc.subjectNumerical methods
dc.subjectOrdinary differential equations
dc.subjectAlgebraic equations
dc.subjectFirst order ordinary differential equations
dc.subjectIteration algorithms
dc.subjectIteration method
dc.subjectNumerical solution
dc.subjectPerturbation method
dc.subjectRoot finding algorithms
dc.subjectSecond orders
dc.subjectPerturbation techniques
dc.titleReview of the new perturbation-iteration method
dc.typeReview

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