Numerical methods for a general class of porous medium equations

Technical Report · Sat Mar 01 00:00:00 EST 1980

DOI:https://doi.org/10.2172/5406753· OSTI ID:5406753

Rose, M. E.

The partial differential equation par. deltau/par. deltat + par. delta(f(u))/par. deltax = par. delta(g(u)par. deltau/par. deltax)/par. deltax, where g(u) is a non-negative diffusion coefficient that may vanish for one or more values of u, was used to model fluid flow through a porous medium. Error estimates for a numerical procedure to approximate the solution are derived. A revised version of this report will appear in Computers and Mathematics with Applications.

• Research Organization: Argonne National Lab. (ANL), Argonne, IL (United States)
• DOE Contract Number: W-31-109-ENG-38
• OSTI ID: 5406753
• Report Number(s): ANL-80-39
• Country of Publication: United States
• Language: English

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SUPERCONDUCTIVITY AND SUPERFLUIDITY
02 PETROLEUM
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NUMERICAL SOLUTION
DIFFUSION
MATHEMATICAL MODELS
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