A particular case of the Hermite interpolation method, namely the two-point Taylor formula, is
utilized to construct a numerical technique for solving Fredholm integral equations (FIEs) of …

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 …

This present investigation is contemplated to provide Legendre spectral collocation method
for solving multi-Pantograph delay boundary value problems (BVPs). In this regard, an …

In this study, the second kind Volterra integral equations (VIEs) are considered. An algorithm
based on the two-point Taylor formula as a special case of the Hermite interpolation is …

The main purpose of this article is to present a special case of Hermite interpolation, namely
the two-point Taylor formula, to approximate dual solutions of the strongly nonlinear one …

Dual solutions of the nonlinear problem of heat transfer in a straight fin with temperature-dependent
heat transfer coefficient | Emerald Insight Books and journals Case studies Expert Briefings …

We introduce a novel technique for constructing higher-order variational integrators for
Hamiltonian systems of ordinary differential equations. In the construction of the discrete …

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 …

This study considers three-point Hermite interpolation as an approximation method that
utilizes the values of a function and its derivatives at the two endpoints and another point of …

The use of Taylor series is an effective numerical method to solve ordinary differential
equations but this fails when the sought function is not analytic or when it has singularities …