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The numerical method for solving differential equations of Lane-Emden type by Padé approximation

ArticleAçık Erişim

Özet

Numerical solution differential equation of Lane-Emden type is considered by Padé approximation. We apply these method to two examples. First differential equation of Lane-Emden type has been converted to power series by one-dimensional differential transformation, then the numerical solution of equation was put into Padé series form. Thus, we have obtained numerical solution differential equation of Lane-Emden type. Copyright © 2011 Muhammed Yiǧider et al.

Anahtar Kelimeler

VARIATIONAL ITERATION METHODHOMOTOPY PERTURBATION METHODSINGULAR IVPSSERIESMathematics, Interdisciplinary ApplicationsMultidisciplinary SciencesMathematicsScience & Technology - Other Topics
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/15771Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1155/2011/479396Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorÇelik, Ercan
dc.contributor.authorYiǧider, Muhammed
dc.contributor.authorTabatabaei, Khatereh
dc.date.accessioned2026-10-18T20:30:36.890168528Z
dc.date.available2026-10-18T20:30:36.890168528Z
dc.date.issued2011
dc.description.abstractNumerical solution differential equation of Lane-Emden type is considered by Padé approximation. We apply these method to two examples. First differential equation of Lane-Emden type has been converted to power series by one-dimensional differential transformation, then the numerical solution of equation was put into Padé series form. Thus, we have obtained numerical solution differential equation of Lane-Emden type. Copyright © 2011 Muhammed Yiǧider et al.
dc.identifier.doi10.1155/2011/479396
dc.identifier.eissn1607-887X
dc.identifier.issn1607-887X
dc.identifier.scopus2-s2.0-79959251272
dc.identifier.startpage479396
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/15771
dc.identifier.volume2011
dc.identifier.wosWOS:000292388300001
dc.language.isoen
dc.publisherHINDAWI LTD
dc.relation.ispartofDiscrete Dynamics in Nature and Society
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectVARIATIONAL ITERATION METHOD
dc.subjectHOMOTOPY PERTURBATION METHOD
dc.subjectSINGULAR IVPS
dc.subjectSERIES
dc.subjectMathematics, Interdisciplinary Applications
dc.subjectMultidisciplinary Sciences
dc.subjectMathematics
dc.subjectScience & Technology - Other Topics
dc.titleThe numerical method for solving differential equations of Lane-Emden type by Padé approximation
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus13
rdl.citation.wos11
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)