Numerical solutions for system of third-order boundary value problems

International Journal of Computer Mathematics

Volumn 78, Issue 1, 2001, Pages 111-121

  Al Said, Eisa A ^a  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

Boundary value problems; Finite difference technique; Odd obstacle problems; Variational inequalities

Indexed keywords

CONVERGENCE ANALYSIS; FINITE-DIFFERENCE TECHNIQUES; NUMERICAL RESULTS; NUMERICAL SOLUTION; OBSTACLE PROBLEMS; PHYSICAL OCEANOGRAPHY; THIRD ORDER; VARIATIONAL INEQUALITIES;

NUMERICAL METHODS; VARIATIONAL TECHNIQUES;

BOUNDARY VALUE PROBLEMS;

EID: 0037860012     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. Al-Said, E. A., Noor, M. A. and Khalifa, A. K. (1996). Finite difference scheme for variational inequalities, J. Opt. Theory and Applications, 89, 453-459.
2. Al-Said, E. A., Noor, M. A. and Rassias, Th. M. (1998). Numerical solutions of third-order obstacle problems, Intern. J. Computer Math., 69, 75-84.
3. Baiocchi, C. and Capelo, A., Variational and Quasi-variational Inequalities, John Wiley and Sons, New York, 1984.
4. Boersma, J. and Molenaar, J. (1995). Geometry of the shoulder of a packaging machine, SIAM Review, 37, 406-422.
5. Cottle, R. W., Giannessi, F. and Lions, J. L., Variational Inequalities and Complementarity Problems: Theory Applications, Oxford, U.K., 1984.
6. Crank, J. (1984). Free and Moving Boundary Problems, Clarendon Press, Oxford.
7. Dunbar, S. R. (1993). Geometric analysis of nonlinear boundary value problem from physical oceanography, SIAM J. Math. Anal., 24, 444-465.
8. Filippov, V. M. (1989). Variational Principles for Nonpotential Operators, Vol. 77, American Math. Soc. Providence, Rohode Island.
9. Fröberg, C., Numerical Mathematics, Theory and Computer Applications, Benjamin/ Cummings, Reading, MA, 1985.
10. Fox, L. (1957). The Numerical Solution of Two Boundary Value Problems in Ordinary Differential Equations, Oxford University Press, London.
11. Glowinski, R., Lions, J. L. and Tremolieres, R., Numerical Analysis of Variational Inequalities, North-Holland, Amsterdam, 1981.
12. Kikuchi, N. and Oden, J. T., Contact Problems in Elasticity, SIAM Publishing Co., Philadelphia, 1988.
13. Kinderlehrer, D. and Stampacchia, G. (1980). An Introduction to Variational Inequalities and Their Applications, Academic Press, London.
14. Lewy, H. and Stampacchia, G. (1969). On the regularity of the solutions of the variational inequalities, Comm. Pure Appl. Math., 22, 153-188.
15. Noor, M. A. (1988). General variational inequalities, Applied Mathematics Letters, I, 119-122.
16. Noor, M. A. (1994). Variational inequalities in physical oceanography. In: Ocean Waves Engineering (Ed. Rahman, M.), Comput. Mechanics Publ., U.K., pp. 201-266.
17. Noor, M. A. (1997). Some recent advances in variational inequalities Part I, basic concepts, New Zealand J. Math., 26, 53-80.
18. Noor, M. A. (1997). Some recent advances in variational inequalities Part II, other concepts, New Zealand J. Math., 26, 229-255.
19. Noor, M. A. and Khalifa, A. K. (1994). A numerical approach for odd-order obstacle problems, Intern. J. Computer Math., 54, 109-116.
20. Noor, M. A., Noor, K. I. and Rassias, Th. M. (1993). Some aspects of variational inequalities, J. Comput. Appl. Math., 47, 285-312.
21. Rodrigues, J. F., Obstacle Problems in Mathematical Physics, North Holland, Amsterdam, 1987.
22. Stampacchia, G. (1964). Formes bilineaires coercitives sur les ensembles convexes, C. R. Acad. Sci. Paris, 258, 4413-4416.
23. Tuck, E. O. and Schwartz, L. W. (1990). A numerical and asymptotic study of some thirdorder ordinary differential equations relevant to draining and coating flows, SIAM Review, 32, 453-469.