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The Global ETD Search service is a free service for researchers
to find electronic theses and dissertations. This service is
provided by the
Networked Digital Library of Theses and Dissertations.
Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
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Magnetoconvection in rapidly rotating spheresWorland, Steven John January 2004 (has links)
No description available.
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Numerical methods for a four dimensional hyperchaotic system with applicationsSibiya, Abram Hlophane 05 1900 (has links)
This study seeks to develop a method that generalises the use of Adams-Bashforth to
solve or treat partial differential equations with local and non-local differentiation by
deriving a two-step Adams-Bashforth numerical scheme in Laplace space. The resulting
solution is then transformed back into the real space by using the inverse Laplace
transform. This is a powerful numerical algorithm for fractional order derivative. The
error analysis for the method is studied and presented. The numerical simulations of
the method as applied to the four-dimensional model, Caputo-Lu-Chen model and the
wave equation are presented.
In the analysis, the bifurcation dynamics are discussed and the periodic doubling processes
that eventually caused chaotic behaviour (butterfly attractor) are shown. The
related graphical simulations that show the existence of fractal structure that is characterised
by chaos and usually called strange attractors are provided.
For the Caputo-Lu-Chen model, graphical simulations have been realised in both integer
and fractional derivative orders. / Mathematical Sciences / M. Sc. (Applied Mathematics)
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