Please use this identifier to cite or link to this item:
Full metadata record
DC FieldValueLanguage
dc.contributor.advisorTanoğlu, Gamze-
dc.contributor.authorİmamoğlu Karabaş, Neslişahen_US
dc.identifier.citationİmamoğlu Karabaş, N. (2020). Analysis and application of linearization technique for nonlinear problems. Unpublished doctoral dissertation, Izmir Institute of Technology, Izmir, Turkey-
dc.descriptionThesis (Doctoral)--Izmir Institute of Technology, Mathematics, Izmir, 2020en_US
dc.descriptionIncludes bibliographical references (leaves: 49-51)-
dc.descriptionText in English; Abstract: Turkish and English-
dc.description.abstractThe purpose of this thesis is to investigate the implementation of linearization technique combining with the multiquadric radial basis function method to nonlinear problems which appears in engineering and physics. Presented linearization technique is formed by the Frechet derivatives and Newton Raphson method. This technique is applied to Burgers' equation, Coupled Burgers' equation and 2-D cubic nonlinear Schrödinger equation. From the numerical results of the problems, it is believed that this technique can be used to solve other nonlinear and system of nonlinear partial differential equations numerically.en_US
dc.description.abstractBu tezin amacı mühendislikte ve fizikte görülen doğrusal olmayan problemlere multiquadric radyal baz fonksiyonları ile birlikte doğrusallaştırma tekniğini uygulanışını araştırmaktır. Sununulan doğrusallaştırma tekniği Fr\`{e}chet türevi ve Newton Raphson metodu baz almaktadır. Bu teknik Burger denklemine, Coupled Burger denklemine ve 2-D kübik doğrusal olmayan Schr\"{o}dinger denklemine uygunlanmıştır. Problemlerin sayısal sonuçlarından, bu tekniğin başka doğrusal olmayan denklemleri ve doğrusal olmayan kısmi türevli denklem sistemlerini sayısal olarak çözmek için kullanılabileceğine inanılmaktadır.en_US
dc.format.extentviii, 80 leaves-
dc.publisherIzmir Institute of Technologyen_US
dc.subjectNonlinear theoriesen_US
dc.subjectLinearization techniqueen_US
dc.titleAnalysis and application of linearization technique for nonlinear problemsen_US
dc.title.alternativeDoğrusal olmayan problemler için bir doğrusallaştırma tekniğinin uygulanması ve analizien_US
dc.typeDoctoral Thesisen_US
dc.departmentThesis (Doctoral)--İzmir Institute of Technology, Mathematicsen_US
dc.contributor.affiliationIzmir Institute of Technologyen_US
item.fulltextWith Fulltext-
item.openairetypeDoctoral Thesis-
Appears in Collections:Phd Degree / Doktora
Files in This Item:
File Description SizeFormat 
10373875.pdfDoctoralThesis708.34 kBAdobe PDFView/Open
Show simple item record

CORE Recommender

Page view(s)

checked on May 22, 2023


checked on May 22, 2023

Google ScholarTM


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.