A Study of several explicit finite difference schemes for the linear convection equation

dc.contributor.author	Abdullah, Norul Huda
dc.date.accessioned	2016-01-28T07:05:50Z
dc.date.available	2016-01-28T07:05:50Z
dc.date.issued	2007
dc.description.abstract	Convection is the transmission process of a constituent of a fluid from one part of a fluid to another part by a movement of the fluid itself. It can be described by hyperbolic partial differential equations. We study the one dimensional linear convection equation which is a one-dimensional linear hyperbolic partial differential equation. In this dissertation, we present several explicit finite difference schemes for the one dimensional linear convection eq1:1ation. These are the Lax-Friedrichs technique, the Leith's scheme, the Fromm's technique, the Rusanov's third order scheme and the Rusanov's fourth order scheme. All these schemes will be discussed and compared for solving the one-dimensional linear convection equation problems. All these schemes also based on the weighted finite difference approximations. The results of a numerical tests are presented and discussed.	en_US
dc.identifier.uri	http://hdl.handle.net/123456789/1713
dc.language.iso	en	en_US
dc.subject	Explicit finite	en_US
dc.subject	Convection equation	en_US
dc.title	A Study of several explicit finite difference schemes for the linear convection equation	en_US
dc.type	Thesis	en_US

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