Abstract
This paper briefly describes the development of generalized collocation methods for solving coupled systems of nonlinear, one-dimensional, parabolic, partial differential equations. The methods are applied to several problems that are representative of fluid flow in a porous medium. The numerical results for the problems solved indicate that collocation methods using C**1 piecewise polynomials with Gauss-Legendre collocation points are more efficient than conventional, second-order, finite-difference methods.
Original language | English (US) |
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Title of host publication | Soc Pet Eng AIME J |
Pages | 345-352 |
Number of pages | 8 |
Volume | 17 |
Edition | 5 |
State | Published - Oct 1977 |
ASJC Scopus subject areas
- General Engineering