Author(s)

Peter Amoako-Yirenkyi¹, Gaston Edem Awashie², Isaac Kwame Dontwi¹

¹National Institute of Mathematical Sciences, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
²Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.

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.

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

Amoako-Yirenkyi, P. , Awashie, G. and Dontwi, I. (2016) On the Analysis and Numerical Formulation of Miscible Fluid Flow in Porous Media Using Chebyshev Wavelets Collocation Method. Journal of Applied Mathematics and Physics, 4, 1210-1221. doi: 10.4236/jamp.2016.47126.