In this paper, we develop quintic nonpolynomial spline methods for the numerical solution of fourth order two-point boundary value problems. Using this spline function a few consistency relations are derived for computing approximations to the solution of the problem. The present approach gives bett
β¦ LIBER β¦
AnO(h6) quintic spline collocation method for fourth order two-point boundary value problems
β Scribed by M. Irodotou-Ellina; E. N. Houstis
- Publisher
- Springer Netherlands
- Year
- 1988
- Tongue
- English
- Weight
- 655 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0006-3835
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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