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dc.contributor.advisorTanoğlu, Gamze
dc.contributor.authorZürnacı, Fatma-
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2014en_US
dc.descriptionIncludes bibliographical references (leaves: 71-74)en_US
dc.descriptionText in English; Abstract: Turkish and Englishen_US
dc.descriptionix, 87 leavesen_US
dc.description.abstractThis thesis is concerned with the operator splitting method for the Fisher’s and Benjamin-Bono-Mahony type equations. We showthat the correct convergence rates inHs(R) space for Lie- Trotter and Strang splitting method which are obtained for these equations. In the proofs, the new framework originally introduced in (Holden, Lubich, and Risebro, 2013) is used. Numerical quadratures and Peano Kernel theorem, which is followed by the differentiation in Banach space are discussed In addition, we discuss the Sobolev space Hs(R) and give several properties of this space. With the help of these subjects, we derive error bounds for the first and second order splitting methods. Finally, we numerically check the convergence rates for the time step ∆t.en_US
dc.publisherIzmir Institute of Technologyen_US
dc.subjectOperator equationen_US
dc.subjectNumerical solutionsen_US
dc.subject.lcshNumerical analysisen_US
dc.titleConvergence analysis and numerical solutions of the Fisher's and Benjamin-Bono-Mahony equations by operator splitting methoden_US
dc.title.alternativeFisher ve Benjamin-Bono-Mahony denklemlerinin operatör ayırma metodu ile yakınsallık analizi ve nümerik çözümlerien_US
dc.typeMaster Thesisen_US
dc.institutionauthorZürnacı, Fatma-
dc.departmentThesis (Master)--İzmir Institute of Technology, Mathematicsen_US
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item.openairetypeMaster Thesis-
Appears in Collections:Master Degree / Yüksek Lisans Tezleri
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