Use of a shooting method to compute eigenvalues of fourth-order two-point boundary value problems
β Scribed by D.J. Jones
- Book ID
- 107988999
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 399 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
A fourth-order accurate finite difference method is developed for a class of fourth order nonlinear two-point boundary value problems. The method leads to a pentadiagonal scheme in the linear cases, which often arise in the beam deflection theory. The convergence of the method is tested numerically
We present new finite difference methods of order at most O(hh) for computing eigenvalues of two-point boundary value problems. Our methods lead to generalized seven-band matrix eigenvalue problems. Some typical boundary value problems are treated numerically and these numerical results are summariz
This paper deals with the existence of positive solutions for the fourth-order nonlinear ordinary differential equation subject to the boundary conditions: where Ξ±, Ξ², Ξ³ , Ξ΄ β₯ 0 are constants such that Ο = Ξ±Ξ΄ + Ξ±Ξ³ + Ξ²Ξ΄ > 0, and ΞΎ i β (0, 1), By means of a fixed-point theorem due to Krasnaselskii,