Numerical solutions for system of third-order boundary value problems

References

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