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Multivariate pade approximation for solving partial differential equations (PDE)

ArticleAçık Erişim

Özet

In this paper, numerical solution of partial differential equations (PDEs) is considered by multivariate pade approximations. We applied these method to two examples. First, PDE has been converted to power series by two-dimensional differential transformation, Then the numerical solution of equation was put into multivariate pade series form. Thus, we obtained numerical solution of PDE. Copyright (C) 2010 John Wiley & Sons, Ltd.

Anahtar Kelimeler

partial differential equation (PDE)two-dimensional differential transformationmultivariate pade approximationnumerical solutiondifferential transformationordinary differential-algebraic equationsComputer Science, Interdisciplinary ApplicationsMathematics, Interdisciplinary ApplicationsMechanicsPhysics, Fluids & PlasmasComputer ScienceMathematicsPhysics
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/16976Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1002/fld.2305Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorTurut, Veyis
dc.contributor.authorCelik, Ercan
dc.contributor.authorYigider, Muhammed
dc.date.accessioned2026-10-18T20:41:11.155025611Z
dc.date.available2026-10-18T20:41:11.155025611Z
dc.date.issued2011
dc.description.abstractIn this paper, numerical solution of partial differential equations (PDEs) is considered by multivariate pade approximations. We applied these method to two examples. First, PDE has been converted to power series by two-dimensional differential transformation, Then the numerical solution of equation was put into multivariate pade series form. Thus, we obtained numerical solution of PDE. Copyright (C) 2010 John Wiley & Sons, Ltd.
dc.identifier.doi10.1002/fld.2305
dc.identifier.eissn1097-0363
dc.identifier.endpage1173
dc.identifier.issn0271-2091
dc.identifier.issue9
dc.identifier.startpage1159
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/16976
dc.identifier.volume66
dc.identifier.wosWOS:000292505000005
dc.language.isoen
dc.publisherWILEY
dc.relation.ispartofINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectpartial differential equation (PDE)
dc.subjecttwo-dimensional differential transformation
dc.subjectmultivariate pade approximation
dc.subjectnumerical solution
dc.subjectdifferential transformation
dc.subjectordinary differential-algebraic equations
dc.subjectComputer Science, Interdisciplinary Applications
dc.subjectMathematics, Interdisciplinary Applications
dc.subjectMechanics
dc.subjectPhysics, Fluids & Plasmas
dc.subjectComputer Science
dc.subjectMathematics
dc.subjectPhysics
dc.titleMultivariate pade approximation for solving partial differential equations (PDE)
dc.typeArticle
dspace.entity.typePublication
rdl.citation.wos7
rdl.oa.statusopen
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)