GENERALIZED COLLOCATION METHODS FOR TIME-DEPENDENT, NONLINEAR BOUNDARY-VALUE PROBLEMS.

R. F. Sincovec

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Scopus citations

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 languageEnglish (US)
Title of host publicationSoc Pet Eng AIME J
Pages345-352
Number of pages8
Volume17
Edition5
StatePublished - Oct 1977

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Sincovec, R. F. (1977). GENERALIZED COLLOCATION METHODS FOR TIME-DEPENDENT, NONLINEAR BOUNDARY-VALUE PROBLEMS. In Soc Pet Eng AIME J (5 ed., Vol. 17, pp. 345-352)