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 demonstra...
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| Published in: | International Journal of Mathematics and Mathematical Sciences Vol. 1987; no. 3; pp. 525 - 529 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Hindawi Limiteds
1987
Wiley |
| Subjects: | |
| ISSN: | 0161-1712, 1687-0425 |
| Online Access: | Get full text |
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| Abstract | 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. |
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| AbstractList | 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. 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)+(qr)y=0. Numerical results for two typical eigenvalue problems are tabulated to demonstrate practical usefulness of our methods. 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 . Numerical results for two typical eigenvalue problems are tabulated to demonstrate practical usefulness of our methods. 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. |
| Author | MANABU SAKAI RIAZ A. USMANI |
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| Snippet | 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... 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... |
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| SubjectTerms | 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 |
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