For the numerical solution of high even order differential equations with two-points Hermite
boundary conditions a general collocation method is derived and studied. Computation of …

In this paper a class of Birkhoff-type interpolation problems on arbitrary nodal points is
studied. The explicit representation (characterization), the uniqueness and the error function …

A general procedure to determine collocation methods for high order boundary value
problems is presented. These methods provide globally continuous differentiable solution in …

A Birkhoff interpolation problem is studied. The explicit solution and estimation of remainder
is given. The cases of equidistant and Chebyshev nodes are considered. This problem is of …

This paper is dedicated to presenting and analyzing a numerical algorithm for the solution of
even-order boundary value problems. The proposed solutions are spectral and they depend …

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 …

In this paper, the effects of Casimir and van der Waals forces on the deflection of micro-and
nano-beam actuators are investigated numerically. Here, two types of nano-beam actuators …

A new collocation method for a BVP Page 304 289 A NEW COLLOCATION METHOD FOR A
BVP FA COSTABILE ∗ and E. LONGO ∗∗ Dipartimento di Matematica, Universita degli Studi …

A multipoint Birkho type boundary value problem Page 1 J. Numer. Math. 2015; 23 (1):1–11
Francesco A. Costabile and Anna Napoli* A multipoint Birkho type boundary value problem …

This paper presents a new multistep collocation method for n th order differential equations.
The interval of interest is first divided into N subintervals. By determining interval conditions …