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    • School Mathematics, Statistics and Computer Science
    • Applied Mathematics
    • Masters Degrees (Applied Mathematics)
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    Analysis and numerical solutions of fragmentation equation with transport.

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    Thesis (683.3Kb)
    Date
    2014-05-12
    Author
    Wetsi, Poka David.
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    Abstract
    Fragmentation 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.
    URI
    http://hdl.handle.net/10413/10698
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    • Masters Degrees (Applied Mathematics) [39]

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