IJPAM: Volume 90, No. 4 (2014)
USED IN NUMERICAL SIMULATION OF
1,2Department of Mathematical Science
University of Alabama
Huntsville, 301 Sparkman Drive, Huntsville, AL 35899, USA
Abstract. Asymptotic approximation/truncation error of a numerical scheme commonly used in petroleum engineering is analyzed. It is shown that the scheme has a (small) non-removable asymptotic error. A modification that eliminates the error from the scheme is found.
Received: April 9, 2013
AMS Subject Classification: 65N06, 65N12, 65N80, 65Z99
Key Words and Phrases: reservoir simulations, well modelling, flows in porous media, filtration
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DOI: 10.12732/ijpam.v90i4.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395