Collocation finite element and spectral methods for one dimensional biharmonic equations

References

• Noor , M. A. 1981 . Error Estimates for the Finite Element Solution of Variational Inequalities . Internat. J. Math and Mathsci. , 4 : 565 – 570 .
   Google Scholar
• Noor , M. A. 1992 . An Iterative Algorithm for Nonlinear Variation Inequalities . Appl Math. Lett. , 5 : 11 – 14 .
   Google Scholar
• Ahlberg , J. H. and Ito , T. 1975 . A Collocation Method for Two-points Boundary Value Problem . Math. Compt. , 29 : 761 – 776 .
   Web of Science ®Google Scholar
• Khalifa , A. K. A. and Eilbeck , J. C. 1982 . Collocation with Quadratic and Cubic Splines . IMA J. of Numer. Analy. , 2 : 111 – 121 .
   Web of Science ®Google Scholar
• Hoskins , W. D. and Meek , D. S. 1975 . Linear Dependence Relations for Polynomial Splines at Midknots . BIT , 15 : 272 – 275 .
   Google Scholar
• Khalifa , A. K. and Noor , M. A. 1990 . Quintic Splines Solutions of a Class of Contact Problems . Mathl. Comput. Modelling , 13 : 51 – 54 .
   Google Scholar
• Gottlieb , D. and Orszag , S. A. 1977 . “ Numerical Analysis of Spectral Methods: Theory and Application ” . In Theory and Applications, Society for Industrial and Applied Mathematics Philadelphia
   Google Scholar
• Shen , J. 1994 . Efficient Spectral-Galerkin Method I. Direct Solvers of Second-and Fourth-order Equations Using Legendre Polynomials . SIAM J. Sci. Comput. , 5 : 1489 – 1505 .
   Google Scholar
• Shen , J. 1995 . Efficient Spectral-Galerkin Method II. Direct Solvers of Second-and Fourth-order Equations Using Chebyshev Polynomials . SIAM J. Sci. Comput. , 16 : 1489 – 1505 .
   Google Scholar