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APPLICATION OF CRANK-NICOLSON METHOD TO A RANDOM COMPONENT HEAT EQUATION

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Özet

In this study, the solution of a random component heat equation is obtained by using Crank-Nicolson Method. The initial condition of this equation is examined by Normal distribution. The expected value and variance of solution of this equation are obtained. Crank-Nicolson method is applied to analyze the solution of this equation. Also, the solution and the graphs of the expected value and variance are obtained by using MATLAB software. The results of the heat equation are compared with random characteristics of this equation. Firstly, a random component heat equation is solved by this method.

Anahtar Kelimeler

Crank-Nicolson methodexpected valueRandom component heat equationvariance
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorAnaç, Halil
dc.contributor.authorMerdan, Mehmet
dc.contributor.authorKesemen, Tülay
dc.date.accessioned2026-10-22T10:23:19.135119007Z
dc.date.available2026-10-22T10:23:19.135119007Z
dc.date.issued2020
dc.description.abstractIn this study, the solution of a random component heat equation is obtained by using Crank-Nicolson Method. The initial condition of this equation is examined by Normal distribution. The expected value and variance of solution of this equation are obtained. Crank-Nicolson method is applied to analyze the solution of this equation. Also, the solution and the graphs of the expected value and variance are obtained by using MATLAB software. The results of the heat equation are compared with random characteristics of this equation. Firstly, a random component heat equation is solved by this method.
dc.identifier.eissn1304-7191
dc.identifier.endpage480
dc.identifier.issn1304-7191
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85149902152
dc.identifier.startpage475
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/14909
dc.identifier.volume38
dc.identifier.wosWOS:000522761700034
dc.language.isoen
dc.publisherYildiz Technical University
dc.relation.ispartofSigma Journal of Engineering and Natural Sciences
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCrank-Nicolson method
dc.subjectexpected value
dc.subjectRandom component heat equation
dc.subjectvariance
dc.subject.classificationEngineering, Multidisciplinary
dc.subject.classificationEngineering
dc.subject.otherPARTIAL-DIFFERENTIAL-EQUATIONS
dc.subject.otherHOMOTOPY PERTURBATION METHOD
dc.subject.otherSTOCHASTIC COLLOCATION METHOD
dc.subject.otherFINITE-ELEMENT METHODS
dc.titleAPPLICATION OF CRANK-NICOLSON METHOD TO A RANDOM COMPONENT HEAT EQUATION
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus0
rdl.citation.wos0
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)