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Some Finite Difference Methods for One Dimensional Burger’s Equation for Irrotational Incompressible Flow Problem

Author(s)
M. Rafiq Faculty of Engineering, University of Central Punjab, Lahore, Pakistan
M. O. Ahmed Department of Mathematics, University of Engineering & Technology Lahore, Pakistan
R. Siddique Department of Mathematics, University of Engineering & Technology Lahore, Pakistan
A. Pervaiz Department of Mathematics, University of Engineering & Technology Lahore, Pakistan
S. Ahmed Pakistan Military Academy, Kakul, Pakistan
Abstract
In this paper special case of famous Burgers’ Equation in one dimension is solved numerically by three approaches which are FTCS explicit scheme, BTCS implicit scheme and Mac-Cormack explicit scheme. The equation in itself is important to understand the concept of fluid flow with constant pressures and irrotational flows. Four cases are discussed here. These are for four different times i.e., T = 0.1, 0.4, 0.7, 1.0. Results for these cases analyzed and shown in the form of plots. Numerical results show that the BTCS implicit method seems more accurate over the others for the cases discussed.
Publication Details
Page(s) 13-16
DOI DOI not available
Published Journal: Pakistan Journal of Engineering and Applied Sciences, Volume: 9, Issue: 0, Year: 2011

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