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Numerical solution of the burgers equation

Chee Tiong, Ong and Yee Ming, Chew and Kim Gaik, Tay (2007) Numerical solution of the burgers equation. In: Recent Advances in Theoretical and Numerical Methods. Penerbit UTM , Johor, pp. 121-128. ISBN 978-983-52-0610-8

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Abstract

This is a chapter on numerical solutions of the Burgers equation given by Ut + eUUx - ? Uxx = 0, a = x = b. The Burgers equation is a nonlinear partial di?erential equations which combines the e?ect of nonlinearity (eUUx) and dissipation (? Uxx). Even though there is an analytical solution for the Burgers equation, we certainly look for other alternative to solve the Burgers equation. The semi-implicit pseudo-spectral method is used to develop a numerical scheme to solve the Burgers equation with Gaussian type initial condition. The numerical simulation is carried out using a numerical solver (FORSO) and shown to be consistent with previous studies

Item Type:Book Section
Subjects:Q Science > Q Science (General)
Divisions:Science
ID Code:13677
Deposited By: Liza Porijo
Deposited On:15 Aug 2011 05:40
Last Modified:15 Aug 2011 05:40

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