Title of article
Numerical Study of Unsteady Flow of Gas Through a Porous Medium By Means of Chebyshev Pseudo-Spectral Method
Author/Authors
Hosseini Herat, S. M. Department of Mathematics - Science and Research Branch, Islamic Azad University, Tehran, Iran , Babolian, E. Department of Mathematics - Science and Research Branch, Islamic Azad University, Tehran, Iran , Abbasbandy, S. Department of Mathematics - Science and Research Branch, Islamic Azad University, Tehran, Iran
Pages
8
From page
229
To page
236
Abstract
In this work, we first reformulate the unsteady flow of gas through a porous medium problem in [0,+∞) to a problem in [-1,1] by variable transformation μ = (x-s)/(x+s), and using spectral collocation method based on Chebyshev polynomials to approximate the resulting problem. The comparison of the results obtained by this method with results obtained by other methods shows that this method provides more accurate and numerically stable solutions.
Keywords
Chebyshev interpolation , Positive scaling factor , Newton iteration method , Chebyshev pseudo-spectral method
Journal title
Astroparticle Physics
Serial Year
2018
Record number
2438565
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