110
Views
16
CrossRef citations to date
0
Altmetric
Miscellany

Finite difference method for solving fourth-order obstacle problems

, , &
Pages 741-748 | Received 16 Jun 2003, Accepted 20 Nov 2003, Published online: 25 Jan 2007

References

References

  • Said , EA and Noor , MA . (1995) . Computational methods for fourth order obstacle boundary value problems . Commun. Appl. Nonlinear Anal. , 2 ( 3 ) : 73 – 83 .
  • Said , EA and Noor , MA . (1998) . Numerical solutions of a system of fourth order boundary value problems . Intern. J. Computer Math. , 71 : 347 – 355 .
  • Said , EA and Noor , MA . (2002) . Quartic spline method for solving fourth order obstacle boundary value problems . J. Comput. Appl. Math. , 143 : 107 – 116 .
  • Baiocchi C Capelo A (1984) Variational and Quasi-Variational Inequalities, John Wiley and Sons New York
  • Crank J (1988) Free and Moving Boundary Value Problems, Clarendon Press Oxford UK
  • Glowinski R Lions J Tremolieres R (1981) Numerical Analysis of Variational Inequalities, North Holland Amsterdam
  • Lewy , H and Stampacchia , G . (1969) . On the regularity of the solutions of the variational inequalities . Comm. Pure and Appl. Math. , 22 : 153 – 188 .
  • Khalifa , AK and Noor , MA . (1990) . Quintic splines solutions of a class of contact problems . Math. Comput. Modelling , 13 : 51 – 58 .
  • Kikuchi N Oden JT (1988) Contact Problems in Elasticity, SIAM Publishing Co. Philadelphia
  • Noor , MA . (1997) . Some recent advances in variational inequalities. Part I, basic concepts . New Zealand J. Math. , 26 : 53 – 80 .
  • Noor , MA . (1997) . Some recent advances in variational inequalities. Part II, other concepts . New Zealand J. Math. , 26 : 229 – 255 .
  • Noor MA Said EA (1999) Fourth order obstacle problems In: Th. M. Rassias and H. M. Srivastava (Eds.) Analytic and Geometric Inequalities and Applications, Kluwer Academic Publishers Dordrecht Netherlands pp. 277–300
  • Noor , MA and Said , EA . (2000) . Numerical solutions of fourth order variational inequalities . Inter. J. Computer Math. , 75 : 107 – 116 .
  • Noor , MA and Tirmizi , SI . (1986) . Numerical methods for unilateral problems . J. Comput. Appl. Math. , 16 : 387 – 395 .
  • Noor , MA and Tirmizi , SI . (1991) . Numerical methods for a class of contact problems . Inter. J. Engng Sci. , 29 : 513 – 521 .
  • Usmani , R . (1992) . The use of quartic splines in the numerical solution of fourth-order boundary value problem . J. Comput. Appl. Math. , 44 : 187 – 199 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.