This paper deals with hyperoperations that derive from binary relations and it studies the hypercompositional structures that are created by them. It is proved that if ρ is a binary relation on a… (More)

This paper studies the square roots of total Boolean Matrices. The basic matrices are introduced and it is proved that all the square roots of the total Boolean Matrix can be constructed from the… (More)

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… (More)

Two different linearized schemes are applied to a parametric finite-difference scheme concerning the numerical solution of the Boussinesq equation. At the first linearized scheme the nonlinear term… (More)

Among the most popular methods for the solution of the Initial Value Problem are the Runge–Kutta (RK) pairs. These methods can be derived by solving a system of nonlinear equations after admitting… (More)

Y. G. Petalas1, Ch. Tsitouras2, G. S. Androulakis3, and M. N. Vrahatis ∗1 1 Computational Intelligence Laboratory (CI Lab), Department of Mathematics, University of Patras Artificial Intelligence… (More)

We suggest a general method for the construction of highly continuous interpolants for one-step methods applied to the numerical solution of initial value problems of ODEs of arbitrary order. For the… (More)

Numerov-type ODE Solvers are widely used for the numerical treatment of second order initial value problems. In this work we present a powerful and efficient symbolic code in Mathematica for the… (More)