A new collocation method based on cubic Lidstone Splines is introduced for solving second order BVPs. It derives directly from piecewise Lidstone polynomials of degree 3 by requiring the continuity of the first derivative at the nodal points. For equally spaced nodes it reduces to a classical finite difference method of second order. The estimation of local and global error is given. Finally we solve some numerical problems and we compare the results with those of other methods.
Cubic Lidstone-Spline for numerical solution of BVPs / Costabile, F; Gualtieri, Maria Italia; Serafini, G.. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - Special Issue SI:NETNA(2017).
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Titolo: | Cubic Lidstone-Spline for numerical solution of BVPs |
Autori: | |
Data di pubblicazione: | 2017 |
Rivista: | |
Citazione: | Cubic Lidstone-Spline for numerical solution of BVPs / Costabile, F; Gualtieri, Maria Italia; Serafini, G.. - In: MATHEMATICS AND COMPUTERS IN SIMULATION. - ISSN 0378-4754. - Special Issue SI:NETNA(2017). |
Handle: | http://hdl.handle.net/20.500.11770/132400 |
Appare nelle tipologie: | 1.1 Articolo in rivista |