Results 71 to 80 of about 466,283 (262)
AIMS Mathematics, 2022 In this article, we evaluated the approximate solutions of one-dimensional variable-order space-fractional diffusion equations (sFDEs) by using a collocation method.
A. S. Mohamed
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A classification of infinite staircases for Hirzebruch surfaces
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccentricity to embed symplectically into the manifold. It was first computed for the standard four‐ball (or equivalently, the complex projective plane) by McDuff and ...
Nicki Magill +2 more
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MathematicsIn this paper, using the symmetrizing operator δe1e22−l, we derive new generating functions of the products of p,q-modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and Lucas ...
Ali Boussayoud +2 more
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On the Chebyshev polynomials and some of their new identities
Advances in Difference Equations, 2020 The main purpose of this paper is, using the elementary methods and properties of the power series, to study the computational problem of the convolution sums of Chebyshev polynomials and Fibonacci polynomials and to give some new and interesting ...
Di Han, Xingxing Lv
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HOMFLY Polynomials of Torus Links as Generalized Fibonacci Polynomials [PDF]
The Electronic Journal of Combinatorics, 2015 The focus of this paper is to study the HOMFLY polynomial of $(2,n)$-torus link as a generalized Fibonacci polynomial. For this purpose, we first introduce a form of generalized Fibonacci and Lucas polynomials and provide their some fundamental properties.
Kemal Taskopru, Altıntaş, İsmet
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Strong bounds and exact solutions to the minimum broadcast time problem
International Transactions in Operational Research, Volume 32, Issue 1, Page 314-352, January 2025.Abstract Given a graph and a subset of its nodes, referred to as source nodes, the minimum broadcast time problem asks for the minimum number of steps in which a signal can be transmitted from the sources to all other nodes in the graph. In each step, the sources and the nodes that already have received the signal can forward it to at most one of their
Marika Ivanova +2 more
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On the power sums problem of bi-periodic Fibonacci and Lucas polynomials
AIMS MathematicsThis paper mainly discussed the power sums of bi-periodic Fibonacci and Lucas polynomials. In addition, we generalized these results to obtain several congruences involving the divisible properties of bi-periodic Fibonacci and Lucas polynomials.
Tingting Du , Li Wang
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Exploring Nonlinear Dynamics and Solitary Waves in the Fractional Klein–Gordon Model
Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.Various nonlinear evolution equations reveal the inner characteristics of numerous real‐life complex phenomena. Using the extended fractional Riccati expansion method, we investigate optical soliton solutions of the fractional Klein–Gordon equation within this modified framework.
Md. Abde Mannaf +8 more
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New convolved Fibonacci collocation procedure for the Fitzhugh–Nagumo non-linear equation
Nonlinear EngineeringThis article is dedicated to propose a spectral solution for the non-linear Fitzhugh–Nagumo equation. The proposed solution is expressed as a double sum of basis functions that are chosen to be the convolved Fibonacci polynomials that generalize the well-
Abd-Elhameed Waleed Mohamed +2 more
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Multivariate Fibonacci-like Polynomials and their Applications [PDF]
, 2023 Se Jin Park +4 more
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