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Original Articles

Spline methods for solving system of second-order boundary-value problems

Pages 717-727 | Received 12 Nov 1997, Published online: 19 Mar 2007

References

  • Ahlberg , J.H. , Nilson , E.N. and Walsh , J.L. 1967 . The theory of splines and their applications , New York : Academic Press .
  • Said , E.A. 1996 . Spline solutions for system of second-order boundary-value problems . Intern. J. Computer Math , 62 : 143 – 154 .
  • Al-Said , E.A. and Noor , M.A. 1995 . Computational methods for fourth order obstacle boundary value problems . Commun. Appl. Nonlinear Anal , 2 ( 3 ) : 73 – 83 .
  • Al-Said , E.A. , Noor , M.A. and Khalifa , A.K. 1996 . Finite difference scheme for variational inequalities . J. Opt. Theory Applic , 89 ( 2 )
  • Baiocchi , C. and Capelo , A. 1984 . Variational and Quasi-variational Inequalities , New York : John Wiley and Sons .
  • Cottle , R.W. , Giannessi , F. and Lions , J.L. 1984 . Variational Inequalities and Complementarity Problems: Theory and Applications Oxford, , U.K
  • Crank , J. 1984 . Free and Moving Boundary Problems , Oxford, , U.K : Clarendon Press .
  • Berg , C. 1985 . “ Numerical Mathematics ” . In Theory and Computer Applications , Reading, MA : Benjamin/Cummings .
  • Henrici , P. 1961 . Discrete Variable Methods in Ordinary Differential Equations , New York : John Wiley .
  • Hoskins , W.D. and Meek , D. 1975 . Linear dependence relations for polynomials at midknots . BIT , 15 : 272 – 276 .
  • Lewy , H. and Stampacchia , G. 1969 . On the regularity of the solution of the variational inequalities . Comm. Pure and Appl. Math , 22 : 153 – 188 .
  • Lions , J.L. and Stampacchia , G. 1967 . Variational inequalities . Comm.Pure and Appl Math , 20 : 493 – 519 .
  • Kikuchi , N. and Oden , J.T. 1988 . Contact Problems in Elasticity , Philadelphia : SIAM Publishing .
  • Noor , M.A. 1996 . Computational techniques for variational inequalities . J. Nat. Geometry , 9 : 41 – 62 .
  • Noor , M.A. and Khalifa , A.K. 1987 . Cubic splines collocation methods for unilateral problems . Int. J. Engng. Scl , 25 : 1527 – 1530 .
  • Noor , M.A. , Noor , K.I. and Rassias , Th. 1993 . Some aspects of variational inequalities . J. Comput. Appl. Math , 47 : 285 – 312 .
  • Noor , M.A. , Noor , K.I. and Rassias , Th. 1993 . “ Invitation to variational inequalities ” . In Analysis, Geometry and Groups: A Riemann Legacy Volume , Edited by: Srivastava , H.M. 373 – 448 . USA : Hadronic Press . Plam Harbor
  • Noor , M.A. and Tirmizi , S.I. 1988 . Finite difference techniques for solving obstacle problems . Appl. Math. Letters , 1 : 267 – 271 .
  • Rodrigues , J.F. 1987 . Obstacle Problems in Mathematical Physics , Amsterdam : North-Holland .
  • Sakai , M. and Usmani , R.A. 1985 . On consistency relations for cubic spline-on-spline and their asymptotic error estimates . J. Approx. Theory , 55 : 195 – 200 .
  • Schumaker , L.L. 1981 . Spline Functions: Basic Theory , New York : Wiley .
  • Tonti , E. 1984 . Variational formulation for every nonlinear problem . Int. J. Engng. Set , 22 : 1343 – 1371 .
  • Villagio , F. 1981 . The Ritz method in solving unilateral problems in elasticity . MECCANICA , 22 : 123 – 127 .

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