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Numerical simulation of the wave (shock profile) propagation of the Kuramoto-Sivanshinky equation using an adaptive mesh method

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dc.contributor.author Muzadziwa, Denson
dc.date.accessioned 2016-04-27T09:13:32Z
dc.date.available 2016-04-27T09:13:32Z
dc.date.issued 2016-04
dc.identifier.uri http://hdl.handle.net/10646/2581
dc.description.abstract In this dissertation we solve the Kuramoto-Sivanshinsky equation numerically using an adaptive mesh method. Discretization in time is done using Crank- Nicolson with septic Hermite collocation method applied in space on an adaptive mesh. The adaptive mesh is a solution of moving mesh partial differential equations derived from the principle of equidistribution. A rezoning approach which works with a decoupled solution procedure is then used to develop a matlab code to produce the numerical results. The method is evaluated for effectiveness and computational efficiency with the most current best method available in the literature. en_US
dc.language.iso en_ZW en_US
dc.subject Kuramoto-Sivanshinsky en_US
dc.subject adaptive mesh method en_US
dc.subject Crank- Nicolson en_US
dc.subject septic Hermite collocation method en_US
dc.title Numerical simulation of the wave (shock profile) propagation of the Kuramoto-Sivanshinky equation using an adaptive mesh method en_US
thesis.degree.advisor Sikwila, S. T. , Dr.
thesis.degree.country Zimbabwe en_US
thesis.degree.discipline Mathematics en_US
thesis.degree.faculty Faculty of Science en_US
thesis.degree.grantor University of Zimbabwe en_US
thesis.degree.grantoremail specialcol@uzlib.uz.ac.zw
thesis.degree.level MSc en_US
thesis.degree.name Master of Science in Mathematics en_US
thesis.degree.thesistype Thesis en_US
dc.date.defense 2015-07


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