A Study of several explicit finite difference schemes for the linear convection equation
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Date
2007
Authors
Abdullah, Norul Huda
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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.
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Keywords
Explicit finite , Convection equation