Experiences in solutions of non-linear transport equations with the Green element method

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 10, Issue 7, 2000, Pages 675-686

  Onyejekwe, Okey Oseloka ^a  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY ELEMENT METHOD; FINITE ELEMENT METHOD; FLOW OF WATER; HEAT TRANSFER; HYDRAULIC CONDUCTIVITY; INTEGRAL EQUATIONS; INTERPOLATION; NUMERICAL METHODS; POLYNOMIALS; PROBLEM SOLVING; SPECIFIC HEAT;

BOUNDARY INTEGRAL EQUATION; CUBIC HERMITIAN INTERPOLATION FUNCTION; GREEN ELEMENT METHOD; LINEAR INTERPOLATION POLYNOMIAL; NONLINEAR TRANSPORT EQUATION;

NONLINEAR EQUATIONS;

EID: 0034540593     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615530010350372     Document Type: Article

References (8)

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2. Onyejekwe, O.O. (1998a), "Solution of non-linear transient conduction equation by a modified boundary integral procedure", Int. Comm. Heat and Mass Trans., Vol. 25, pp. 1189-202.
3. Onyejekwe, O.O. (1998b), "Boundary integral procedures for unsaturated flow problems", Transport in Porous Media, Vol. 3, pp. 313-30.
4. Orivuori, S. (1974), "Efficient methods for solution of non-inear heat conduction problems", Int. Jnl Num. Mthds Engnr., Vol. 14, pp. 1461-76.
5. Ozisik, M.N. (1980), Heat Conduction, Wiley, New York, NY.
6. Segal, A. and Praagman, N. (1986), "A fast implementation of explicit time-stepping algorithms with the finite element method for a class of non-linear evolution problems", Int. Jnl Num. Mthds Engnr., Vol. 23, pp. 155-68.
7. Taigbenu, A.E. (1998), "Enhancing the accuracy of the solution to unsaturated flow by a Hermitian Green element model", Advances in Engnr. Software, Vol. 29, pp. 113-18.
8. Taigbenu, A.E. and Onyejekwe, O.O. (1995), "Green element simulations of the transient unsaturated flow equation", Appld Math. Mod., Vol. 19, pp. 675-84.