High-order-accurate discretization of a second-order equation with discontinuous coefficients

Applied Mathematical Modelling

Volumn 22, Issue 1-2, 1998, Pages 69-79

  Arad, M ^a   Ben Dor, G ^a   Yakhot, A ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Discontinuous coefficients; Finite differences; High order scheme; Second order equation

Indexed keywords

ALGORITHMS; DIFFERENTIAL EQUATIONS; NUMERICAL METHODS;

DISCONTINOUS COEFFICIENTS; SECOND ORDER EQUATIONS;

FINITE DIFFERENCE METHOD;

EID: 0031677164     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(98)00009-2     Document Type: Article

References (5)

1. D.M. Young, R.T. Gregory, A Survey of Numerical Mathematics, vol. II, Addison-Wesley, Reading, MA, 1973.
2. Arad M., Segev R., Ben-Dor G. Improved finite difference method for equilibrium problems based on differentiation of the partial differential equations and the boundary conditions. Int. J. Num. Meth. Engrg. 38:1995;1831-1853.
3. Arad M., Yakhot A., Ben-Dor G. High-order-accurate discretization stencil for an elliptic equation. Int. J. Num. Meth. in Fluids. 23:1996;367-377.
4. J.N. Reddy, An Introduction to the Finite Element Method, McGraw-Hill, New York, 1984.
5. B. Szabo, I. Babuska, Finite Element Analysis, Wiley, New York, 1991.