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

Muzadziwa, Denson (2015) Numerical simulation of the wave (shock profile) propagation of the Kuramoto-Sivanshinky equation using an adaptive mesh method. UNSPECIFIED thesis, UNSPECIFIED.

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Official URL: http://hdl.handle.net/10646/2581

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.

Item Type: Thesis (UNSPECIFIED)
Uncontrolled Keywords: Kuramoto-Sivanshinsky,adaptive mesh method,Crank- Nicolson,septic Hermite collocation method
Divisions: Universities > State Universities > University of Zimbabwe
Depositing User: Mr. Edmore Sibanda
Date Deposited: 30 Apr 2016 22:01
Last Modified: 30 Apr 2016 22:01
URI: http://researchdatabase.ac.zw/id/eprint/3105

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