we present a new type of method for the integration of systems of linear inhomogeneous initial value problems with constant coefficients. Our methods are of hybrid explicit Numerov type. The methods are constructed without the intermediate use of high accuracy interpolatory nodes, since only the Tay
Conservative spline methods for second-order IVPs of ODEs
✍ Scribed by A. Sövegjártó
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 373 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0898-1221
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📜 SIMILAR VOLUMES
A dissipative trigonometrically-fitted two-step explicit hybrid method is constructed in this paper. This method is based on a dissipative explicit two-step method developed recently by Tsitouras [1]. Numerical examples show that the procedure of trigonometrical fitting is an efficient way for one t
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