Improvement of eigenvalues of Sturm-Liouville problem with t-periodic boundary conditions

Journal of Computational and Applied Mathematics

Volumn 180, Issue 2, 2005, Pages 433-441

  Somali, Sennur ^a   Oger, Volkan ^a  

^a DOKUZ EYLUL UNIVERSITY   (Turkey)

Author keywords

Eigenvalues; Richardson extrapolation; Sturm Liouville problem

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL METHODS; EXTRAPOLATION; FINITE DIFFERENCE METHOD; ITERATIVE METHODS;

ASYMPTOTIC EXPANSION; PERIODIC BOUNDARY CONDITIONS; RICHARDSON EXTRAPOLATION; STURM-LIOUVILLE PROBLEM;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 18644373744     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.11.011     Document Type: Article

References (15)

1. R.S. Anderssen F.R. Hoog On the correction of finite difference eigenvalue approximations of Sturm-Liouville problems with general boundary conditions BIT 24 1984 401-412
2. A.L. Andrew Correction of finite element eigenvalues for problems with natural or periodic boundary conditions BIT 28 1988 254-269
3. A.L. Andrew Correction of finite difference eigenvalues of periodic Sturm-Liouville problems J. Austral. Math Soc. Ser. B 30 1989 460-469
4. A.L. Andrew Asymptotic correction of computed eigenvalues of differential equations Ann. Numer. Math. 1 1994 41-51
5. A.L. Andrew J.W. Paine Correction of finite element estimates for Sturm-Liouville eigenvalues Numer. Math. 50 1986 205-215
6. D.J. Condon Corrected finite difference eigenvalues of periodic Sturm-Lioville problems Appl. Numer. Math. 30 1999 393-401
7. D.J. Evans, Numerical solution of the Sturm-Liouville problem with periodic boundary conditions, Conference on Applications of Numerical Analysis, Dundee, in: Lecture Notes in Mathematics, vol. 228, Springer, Berlin, 1971, pp. 277-287.
8. P. Ghelardoni G. Gheri Improved shooting technique for numerical computations of eigenvalues in Sturm-Liouville problems Nonlinear Anal. 47 2001 885-896
9. P. Ghelardoni G. Gheri M. Marletta Spectral corrections for Sturm-Liouville problems J. Comput. Appl. Math. 132 2001 443-459
10. J.W. Paine A numerical method for the inverse Sturm-Liouville problem SIAM J. Sci. Statist. Comput. 5 1984 149-156
11. J.W. Paine F.R. Hoog R.S. Andressen On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems Computing 26 1981 123-139
12. S. Somali Implicit midpoint rule to the nonlinear degenerate boundary value problems Internat. J. Computer Math. 79 3 2002 327-332
13. S. Somali S. Davulcu Implicit midpoint rule and extrapolation to singularly perturbed boundary value problems Internat. J. Computer Math. 75 2000 117-127
14. G. Vanden Berghe M. Van Daele H. De Meyer A modified difference scheme for periodic and semiperiodic Sturm-Liouville problems Appl. Numer. Math. 18 1995 69-78
15. O.A. Veliev M. Toppamuk Duman The spectral expansion for a non-selfadjoint Hill operator with a locally integrable potential J. Math. Anal. Appl. 265 2002 76-90