Numerical methods for approximating eigenvalues of boundary value problems
This paper describes some new finite difference methods for the approximation of eigenvalues of a two point boundary value problem associated with a fourth order linear differential equation of the type (py″)′′−(qy′)′+(r−λs)y=0. The smallest positive eigenvalue of some typical eigensystems is compu...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171286000716 |
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| _version_ | 1849434725821710336 |
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| author | Kiaz A. Usmani Mohammad Isa |
| author_facet | Kiaz A. Usmani Mohammad Isa |
| author_sort | Kiaz A. Usmani |
| collection | DOAJ |
| description | This paper describes some new finite difference methods for the approximation of eigenvalues of a two point boundary value problem associated with a fourth order linear differential equation of the type (py″)′′−(qy′)′+(r−λs)y=0. The smallest positive eigenvalue of some typical eigensystems is computed to demonstrate the practical usefulness of the numerical techniques developed. |
| format | Article |
| id | doaj-art-e3fdaaca241546b39e2c36c0ed38b759 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e3fdaaca241546b39e2c36c0ed38b7592025-08-20T03:26:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019356757510.1155/S0161171286000716Numerical methods for approximating eigenvalues of boundary value problemsKiaz A. Usmani0Mohammad Isa1Department of Applied Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2, CanadaCollege of Engineering, King Abdul Aziz University, P.O. Box 9027, Jeddah, Saudi ArabiaThis paper describes some new finite difference methods for the approximation of eigenvalues of a two point boundary value problem associated with a fourth order linear differential equation of the type (py″)′′−(qy′)′+(r−λs)y=0. The smallest positive eigenvalue of some typical eigensystems is computed to demonstrate the practical usefulness of the numerical techniques developed.http://dx.doi.org/10.1155/S0161171286000716band matricesdeflationfinite-difference methodsgeneralized matrix eigenvalue probleminverse power iterationthe smallest eigenvalue of a matrix eigenvalue problemtwo-point boundary value problems. |
| spellingShingle | Kiaz A. Usmani Mohammad Isa Numerical methods for approximating eigenvalues of boundary value problems International Journal of Mathematics and Mathematical Sciences band matrices deflation finite-difference methods generalized matrix eigenvalue problem inverse power iteration the smallest eigenvalue of a matrix eigenvalue problem two-point boundary value problems. |
| title | Numerical methods for approximating eigenvalues of boundary value problems |
| title_full | Numerical methods for approximating eigenvalues of boundary value problems |
| title_fullStr | Numerical methods for approximating eigenvalues of boundary value problems |
| title_full_unstemmed | Numerical methods for approximating eigenvalues of boundary value problems |
| title_short | Numerical methods for approximating eigenvalues of boundary value problems |
| title_sort | numerical methods for approximating eigenvalues of boundary value problems |
| topic | band matrices deflation finite-difference methods generalized matrix eigenvalue problem inverse power iteration the smallest eigenvalue of a matrix eigenvalue problem two-point boundary value problems. |
| url | http://dx.doi.org/10.1155/S0161171286000716 |
| work_keys_str_mv | AT kiazausmani numericalmethodsforapproximatingeigenvaluesofboundaryvalueproblems AT mohammadisa numericalmethodsforapproximatingeigenvaluesofboundaryvalueproblems |