A class of methods for the numerical solution of high‐order differential equations with
Lidstone and complementary Lidstone boundary conditions are presented. It is a collocation …

In this paper we use Bernoulli polynomials to derive a new spectral method to find the
numerical solutions of second order linear boundary value problems. The proposed method …

For the numerical solution of boundary value problems a global method, based on two-point
Taylor formula is proposed. A Mathematica package to compute approximate solution 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, we propose a new method of hybrid type, for non-linear second order BVPs, to
overcome some drawbacks of classic difference finite methods. An estimation of the local …

On the nonsingularity of a special class of centrosymmetric matrices arising in spectral
methods in BVPs - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

Consider the problem:{y (x)+ f (x, y)= 0, 0< x<∞, y (0)=∞, y (∞)= 0 where f (x, y)∈ C ([0,∞]×
R), y (x)∈ C 1 (0,∞). This is not a classical two-points boundary value problem since y …

For computing logarithms of a nonsingular matrix A, one well known algorithm named the
inverse scaling and squaring method, was proposed by Kenney and Laub [14] for use with a …