Computation of Eigenvalues of Sturm-Liouville Problems using Homotopy Perturbation Method

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dc.contributor.authorAtay, Mehmet Tarik
dc.contributor.authorKartal, Senol
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2010
dc.departmentNiğde ÖHÜ
dc.description.abstractIn this paper, a recently proposed analytical approximation technique, namely Homotopy Perturbation Method (HPM) is presented to compute eigenvalues of second and fourth order Sturm-Liouville problems. These types of equations appear in engineering applications such as vibration, elastic stability problems, which are great importance in engineering practice and real world applications. The presented technique is formulated and then applied to number of Sturm-Liouville problem cases for which solutions were obtained numerically. An easy to use feature of the method is promising for applying to such boundary value problems.
dc.identifier.endpage111
dc.identifier.issn1565-1339
dc.identifier.issue2
dc.identifier.scopus2-s2.0-78649523894
dc.identifier.scopusqualityQ2
dc.identifier.startpage105
dc.identifier.urihttps://hdl.handle.net/11480/4917
dc.identifier.volume11
dc.identifier.wosWOS:000278232400005
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherFREUND PUBLISHING HOUSE LTD
dc.relation.ispartofINTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSturm-Liouville
dc.subjectBoundary value problems
dc.subjectHomotopy Perturbation Method
dc.subjectVariational Iteration Method
dc.titleComputation of Eigenvalues of Sturm-Liouville Problems using Homotopy Perturbation Method
dc.typeArticle

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