Quintic splines method for second-order boundary value problems
โ Scribed by Aziz, Tariq; Khan, Arshad; Khan, Islam
- Book ID
- 118066109
- Publisher
- Taylor and Francis Group
- Year
- 2008
- Tongue
- English
- Weight
- 113 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0020-7160
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๐ SIMILAR VOLUMES
In this paper we propose a global collocation method for the integration of the special second-order ordinary initial value problem (IVP) y = f(x; y). The presented method is based on quintic C 2 -splines s(x) as an approximation to the exact solution y(x) of the (IVP). Analysis of stability shows t
A new fourth order method using quintic polynomials is designed in this paper for the smooth approximation of the two point boundary value problems involving second order differential equations lacking the first derivative. The present method enables us to approximate the unknown function as well as
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