Soulaine, C., Davit, Y. and Quintard, M. (2013) A Two-Pressure Model for Slightly Compressible Single Phase Flow in Bi-Structed Porous Media. Oxford Centre for Collaborative Applied Mathematics, 96, 55-70.

has been cited by the following article:

• TITLE: On the Analysis and Numerical Formulation of Miscible Fluid Flow in Porous Media Using Chebyshev Wavelets Collocation Method

  AUTHORS: Peter Amoako-Yirenkyi, Gaston Edem Awashie, Isaac Kwame Dontwi

  KEYWORDS: Porous Medium, Single-Phase Flow, Chebyshev Wavelets, Operation Matrix of Integration

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.7, July 11, 2016

  ABSTRACT: In this paper, the Chebyshev wavelet method, constructed from the Chebyshev polynomial of the first kind is proposed to numerically simulate the single-phase flow of fluid in a reservoir. The method was used together with the operational matrices of integration which resulted in an algebraic system of equations. The system of equation was solved for the wavelet coefficient and used to construct the solutions. The efficiency and accuracy of the method were demonstrated through error measurements. Both the root mean square and the maximum absolute error analysis used in the study were within significantly close range. The Chebyshev wavelet collocation method subsequently was observed to closely approximate the analytic solution to the single phase flow model quite well.