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Analysis and numerical solutions of fragmentation equation with transport.

dc.contributor.advisorBanasiak, Jacek.
dc.contributor.advisorShindin, Sergey Konstantinovich.
dc.contributor.authorWetsi, Poka David.
dc.date.accessioned2014-05-12T13:34:27Z
dc.date.available2014-05-12T13:34:27Z
dc.date.created2012
dc.date.issued2012
dc.descriptionThesis (M.Sc.)-University of KwaZulu-Natal, Durban, 2012.en
dc.description.abstractFragmentation equations occur naturally in many real world problems, see [ZM85, ZM86, HEL91, CEH91, HGEL96, SLLM00, Ban02, BL03, Ban04, BA06] and references therein. Mathematical study of these equations is mostly concentrated on building existence and uniqueness theories and on qualitative analysis of solutions (shattering), some effort has be done in finding solutions analytically. In this project, we deal with numerical analysis of fragmentation equation with transport. First, we provide some existence results in Banach and Hilbert settings, then we turn to numerical analysis. For this approximation and interpolation theory for generalized Laguerre functions is derived. Using these results we formulate Laguerre pseudospectral method and provide its stability and convergence analysis. The project is concluded with several numerical experiments.en
dc.identifier.urihttp://hdl.handle.net/10413/10698
dc.language.isoen_ZAen
dc.subjectEquations--Numerical solutions.en
dc.subjectNumerical analysis.en
dc.subjectTheses--Applied mathematics.en
dc.titleAnalysis and numerical solutions of fragmentation equation with transport.en
dc.typeThesisen

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