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An Approximate Method for System of Nonlinear Volterra Integro-Differential Equations with Variable Coefficients [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2013
In this paper, we apply the differential transform (DT) method for finding approximate solution of the system of linear and nonlinear Volterra integro-differential equations with variable coefficients, especially of higher order.
A. Tari
doaj   +2 more sources

On the Orders of the Elements of a Square Extension of a Finite Field of Characteristic 2

open access: yesСовременные информационные технологии и IT-образование, 2020
Let F(2m) will be an arbitrary finite field of characteristic 2. It’s square extension will be considered as an algebra with basiс elements 1 and e over the field F(2m).
Valery Maximov, Victoria Remezova
doaj   +1 more source

Another six Fibonacci-like sequences [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
We briefly describe six Fibonacci-like sequences or arbitrary order that give rise to a periodic or eventually periodic sequences. We provide some examples and demonstrate the explicit periods of these sequences.
Karol Gryszka
doaj   +1 more source

A note on periodic linear recurrence relations [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
We provide an elementary proof of the fact that a sequence defined by a linear recurrence relation with integer coefficients is periodic if and only if all characteristic roots are distinct roots of unity.
József Bukor
doaj   +1 more source

Two Fibonacci-like sequences [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In the present paper we will discuss the two Fibonacci-like sequences s₂ₖ₊₁=s₂ₖ-s₂ₖ₋₁+...-s₁+s₀ with s₀=a₀,...,s₂ₖ=a₂ₖ and s₂ₖ₊₂=s₂ₖ₊₁-s₂ₖ+...+s₁-s₀ with s₀=a₀,...,s₂ₖ=a₂ₖ₊₁, where a₀,...,a₂ₖ₊₁ are arbitrary numbers.
Krassimir T. Atanassov   +1 more
doaj   +1 more source

Eigensolutions, scattering phase shift and thermodynamic properties of Hulthẻn-Yukawa potential

open access: yesResults in Physics, 2019
The amendibility of a spin-0 and spin-1 particle with a combined potential in the presence of the Duffin-Kemmer-Petiau wave equation is highly recommendable.
O. Adebimpe   +4 more
doaj   +1 more source

Analysis of thin-walled beams with variable monosymmetric cross section by means of Legendre polynomials

open access: yesStudia Geotechnica et Mechanica, 2019
This article deals with the vibrations of a nonprismatic thin-walled beam with an open cross section and any geometrical parameters. The thin-walled beam model presented in this article was described using the membrane shell theory, whilst the equations ...
Szybiński Józef, Ruta Piotr
doaj   +1 more source

Two-Variable Wilson Polynomials and the Generic Superintegrable System on the 3-Sphere

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
We show that the symmetry operators for the quantum superintegrable system on the 3-sphere with generic 4-parameter potential form a closed quadratic algebra with 6 linearly independent generators that closes at order 6 (as differential operators ...
Ernie G. Kalnins   +2 more
doaj   +1 more source

An Approximate Analytical View of Fractional Physical Models in the Frame of the Caputo Operator

open access: yesFractal and Fractional
The development of numerical or analytical solutions for fractional mathematical models describing specific phenomena is an important subject in physics, mathematics, and engineering. This paper’s main objective is to investigate the approximation of the
Mashael M. AlBaidani   +3 more
doaj   +1 more source

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