Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4177
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dc.contributor.advisorTanoğlu, Gamze
dc.contributor.authorSofyalıoğlu, Melek-
dc.date.accessioned2014-11-18T08:17:44Z
dc.date.available2014-11-18T08:17:44Z
dc.date.issued2014
dc.identifier.urihttp://hdl.handle.net/11147/4177
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2014en_US
dc.descriptionIncludes bibliographical references (leaves: 78-79)en_US
dc.descriptionText in English; Abstract: Turkish and Englishen_US
dc.descriptionix, 97 leavesen_US
dc.description.abstractThis thesis presents the methods for solving stiff differential equations and the convergency analysis of exponential integrators, namely the exponential Euler method, exponential second order method, exponential midpoint method for evolution equation. It is also concentrated on how to combine exponential integrators with the interpolation polynomials to solve the problems which has discrete force. The discrete force is approximated by using the Newton divided difference interpolation polynomials. The new error bounds are derived. The performance of these new combinations are illustrated by applying to some well-known stiff problems. In computational part, themethods are applied to linear ODE systems and parabolic PDEs. Finally, numerical results are obtained by using MATLAB programming language.en_US
dc.language.isoenen_US
dc.publisherIzmir Institute of Technologyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectExponential integratorsen_US
dc.subjectStiff differential equationsen_US
dc.subjectInterpolation theoryen_US
dc.subjectParabolic problemsen_US
dc.titleNumerical solutions of the reaction-diffusion equations by exponential integratorsen_US
dc.title.alternativeReaksiyon difüzyon denklemlerinin üstel integratörlerle sayısal çözümlerien_US
dc.typeMaster Thesisen_US
dc.authoridTR57655en_US
dc.institutionauthorSofyalıoğlu, Melek-
dc.departmentThesis (Master)--İzmir Institute of Technology, Mathematicsen_US
dc.relation.publicationcategoryTezen_US
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.grantfulltextopen-
item.fulltextWith Fulltext-
item.openairetypeMaster Thesis-
Appears in Collections:Master Degree / Yüksek Lisans Tezleri
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