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 quartic C3-spline collocation method for solving second-order initial value problems
β Scribed by S. Sallam; A.A. Karaballi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 606 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0377-0427
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In this paper, unconditionally stable higher order accurate time step integration algorithms suitable for second order initial value problems in collocation form are presented. The second order equations are manipulated directly. If the approximate solution is expressed as a polynomial of degree n#1
## a b s t r a c t The B-spline method is used for the numerical solution of a linear system of second-order boundary value problems. Two examples are considered for the numerical illustration and the method is also compared with the method proposed by J. Lu [J. Lu, Variational iteration method for
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