A numerical solution of a free-boundary problem on the unsaturated flow of liquids in porous media

A. Kharab

doi:10.1016/0898-1221(86)90004-0

A numerical solution of a free-boundary problem on the unsaturated flow of liquids in porous media

A. Kharab^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

A numerical approximation is used to present the solution of a free-boundary problem in one space dimension, arising in the filtration of a fluid through a porous medium. The numerical scheme presented combines the use of finite elements and a predictor-corrector method. A numerical algorithm for finding the approximate solution and results of numerical calculations are given.

Original language	English
Pages (from-to)	1193-1200
Number of pages	8
Journal	Computers and Mathematics with Applications
Volume	12
Issue number	12 PART A
DOIs	https://doi.org/10.1016/0898-1221(86)90004-0
State	Published - Dec 1986

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/0898-1221(86)90004-0

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abstract = "A numerical approximation is used to present the solution of a free-boundary problem in one space dimension, arising in the filtration of a fluid through a porous medium. The numerical scheme presented combines the use of finite elements and a predictor-corrector method. A numerical algorithm for finding the approximate solution and results of numerical calculations are given.",

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AB - A numerical approximation is used to present the solution of a free-boundary problem in one space dimension, arising in the filtration of a fluid through a porous medium. The numerical scheme presented combines the use of finite elements and a predictor-corrector method. A numerical algorithm for finding the approximate solution and results of numerical calculations are given.

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JO - Computers and Mathematics with Applications

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A numerical solution of a free-boundary problem on the unsaturated flow of liquids in porous media

Abstract

ASJC Scopus subject areas

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