Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem
This paper describes some new finite difference methods of order 2 and 4 for computing eigenvalues of a two-point boundary value problem associated with a fourth order differential equation of the form (py″)′′+(q−λr)y=0. Numerical results for two typical eigenvalue problems are tabulated to demonst...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171287000620 |
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| _version_ | 1850104883226607616 |
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| author | Riaz A. Usmani Manabu Sakai |
| author_facet | Riaz A. Usmani Manabu Sakai |
| author_sort | Riaz A. Usmani |
| collection | DOAJ |
| description | This paper describes some new finite difference methods of order 2 and 4 for computing eigenvalues of a two-point boundary value problem associated with a fourth
order differential equation of the form (py″)′′+(q−λr)y=0. Numerical results for two typical eigenvalue problems are tabulated to demonstrate practical usefulness of our methods. |
| format | Article |
| id | doaj-art-406c2a5953644e1690fa5a5396052bf4 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-406c2a5953644e1690fa5a5396052bf42025-08-20T02:39:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110352552910.1155/S0161171287000620Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problemRiaz A. Usmani0Manabu Sakai1Department of Applied Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2, CanadaDepartment of Mathematics, University of Kagoshima, Kagoshima 890, JapanThis paper describes some new finite difference methods of order 2 and 4 for computing eigenvalues of a two-point boundary value problem associated with a fourth order differential equation of the form (py″)′′+(q−λr)y=0. Numerical results for two typical eigenvalue problems are tabulated to demonstrate practical usefulness of our methods.http://dx.doi.org/10.1155/S0161171287000620band-matricesfinite-difference methodsgeneralized eigenvalue problempositive definite matricestwo-point boundary value problems. |
| spellingShingle | Riaz A. Usmani Manabu Sakai Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem International Journal of Mathematics and Mathematical Sciences band-matrices finite-difference methods generalized eigenvalue problem positive definite matrices two-point boundary value problems. |
| title | Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem |
| title_full | Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem |
| title_fullStr | Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem |
| title_full_unstemmed | Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem |
| title_short | Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem |
| title_sort | two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem |
| topic | band-matrices finite-difference methods generalized eigenvalue problem positive definite matrices two-point boundary value problems. |
| url | http://dx.doi.org/10.1155/S0161171287000620 |
| work_keys_str_mv | AT riazausmani twonewfinitedifferencemethodsforcomputingeigenvaluesofafourthorderlinearboundaryvalueproblem AT manabusakai twonewfinitedifferencemethodsforcomputingeigenvaluesofafourthorderlinearboundaryvalueproblem |