Finite volume methods for simulating anomalous transport

Hejazi, Hala Ahmad (2015) Finite volume methods for simulating anomalous transport. PhD by Publication, Queensland University of Technology.


In this thesis a new approach for solving a certain class of anomalous diffusion equations was developed. The theory and algorithms arising from this work will pave the way for more efficient and more accurate solutions of these equations, with applications to science, health and industry. The method of finite volumes was applied to discretise the spatial derivatives, and this was shown to outperform existing methods in several key respects. The stability and convergence of the new method were rigorously established.

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328 since deposited on 11 Mar 2015
166 in the past twelve months

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ID Code: 81751
Item Type: QUT Thesis (PhD by Publication)
Supervisor: Moroney, Timothy, Liu, Fawang, & Burrage, Kevin
Keywords: Riemann-Liouville fractional derivative, Grunwald-Letnikov fractional derivative, Caputo fractional derivative, Riesz fractional derivative, Anomalous diffusion, Composite medium, Finite volume method, Fractional advection-dispersion equation, Second-order accurate shifted Grunwald, Stability and Convergence
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Institution: Queensland University of Technology
Deposited On: 11 Mar 2015 05:46
Last Modified: 08 Sep 2015 06:35

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