The Solutions of Partial Differential Equations with Variable Coefficient by Sumudu Transform Method

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In this paper, we studied to obtain numerical solutions of partial differential equations with variable coefficient by Sumudu Transform Method (STM). We applied to three examples this method. Then, we ploted 2D and 3D graphics of these equations by means of programming language Mathematica. In order to solve these differential equations which is ordinary and partial, the integral transforms such as the Laplace, Hankel and Fourier were unusually used and therefore there are several works on literature and applications of them. But it has few been given by using STM. And thus, in recent years STM has been an important places in applied sciences such as especially engineering, physics, physical sciences. Moreover, it is important for solving ordinary and partial differential equations which is linear and nonlinear.

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https://rdlopen.rawdatalibrary.net/r/munzur/4166Resmi atıflarda kullanılan kalıcı adres
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AlanDeğerDil
dc.contributor.authorBulut, Hasan
dc.contributor.authorBaskonus, H. Mehmet
dc.contributor.authorTuluce, Seyma
dc.contributor.editorSivasundaram, S
dc.date.accessioned2026-10-28T14:58:58.916668943Z
dc.date.available2026-10-28T14:58:58.916668943Z
dc.date.issued2012
dc.description.abstractIn this paper, we studied to obtain numerical solutions of partial differential equations with variable coefficient by Sumudu Transform Method (STM). We applied to three examples this method. Then, we ploted 2D and 3D graphics of these equations by means of programming language Mathematica. In order to solve these differential equations which is ordinary and partial, the integral transforms such as the Laplace, Hankel and Fourier were unusually used and therefore there are several works on literature and applications of them. But it has few been given by using STM. And thus, in recent years STM has been an important places in applied sciences such as especially engineering, physics, physical sciences. Moreover, it is important for solving ordinary and partial differential equations which is linear and nonlinear.
dc.identifier.doi10.1063/1.4765475
dc.identifier.endpage95
dc.identifier.isbn978-0-7354-1105-0
dc.identifier.issn0094-243X
dc.identifier.startpage91
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/munzur/4166
dc.identifier.volume1493
dc.identifier.wosWOS:000312264400015
dc.language.isoen
dc.publisherAMER INST PHYSICS
dc.relation.conference9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences
dc.relation.ispartof9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2012)
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectSumudu Transform Method
dc.subjectPartial Differential equations with variable coefficient
dc.subject.classificationMathematics, Applied
dc.subject.classificationPhysics, Applied
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.subject.otherINTEGRAL TRANSFORM
dc.titleThe Solutions of Partial Differential Equations with Variable Coefficient by Sumudu Transform Method
dc.typeConference Object
rdl.citation.openalex16
rdl.citation.wos16
rdl.conference.dateJUL 10-14, 2012
rdl.conference.placeTech Univ Vienna, Vienna, AUSTRIA
rdl.oa.statusclosed
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)