IJPAM: Volume 57, No. 2 (2009)
A VARIABLE TIME STEP METHOD FOR
A FREE BOUNDARY PROBLEM IN POROUS MEDIA
A FREE BOUNDARY PROBLEM IN POROUS MEDIA
A. Kharab
Department of Mathematics
King Fahd University of Petroleum and Minerals
Dhahran, 31261, KINGDOM OF SAUDI ARABIA
e-mail: [email protected]
Department of Mathematics
King Fahd University of Petroleum and Minerals
Dhahran, 31261, KINGDOM OF SAUDI ARABIA
e-mail: [email protected]
Abstract.In this paper we present the numerical solution of a free boundary value problem arising in the filtration of a fluid through a porous medium. The numerical approach is based on a variable time step method. An algorithm for finding the approximate solution is described and numerical results are given.
Received: November 1, 2009
AMS Subject Classification: 65N06
Key Words and Phrases: porous medium, pressure, free boundary problems, variable time step
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 2
