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)|
|Title of host publication||Soc Pet Eng AIME J|
|Number of pages||8|
|State||Published - Oct 1977|
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