Muzadziwa, Denson (2015) Numerical Simulation of the Wave (Shock Profile) Propagation of the Kuramoto-Sivashinsky Equation Using an Adaptive Mesh Method. Masters thesis, University of Zimbabwe.
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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 effciency with the most current best method available in the literature.
| Item Type: | Thesis (Masters) |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Africana |
| Depositing User: | Geoffrey Obatsa |
| Date Deposited: | 10 May 2018 14:10 |
| Last Modified: | 10 May 2018 14:10 |
| URI: | http://thesisbank.jhia.ac.ke/id/eprint/4000 |
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