Fibonacci Operational Matrix Algorithm For Solving Differential Equations Of Lane-Emden Type
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 The aim of this study is presentan effective and correct technique for solving differential equations ofLane-Emden type as initial value problems. In this work, a numerical method namedas the Fibonacci polynomial approximation method, for the approximate
Musa Çakmak
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A fast Fibonacci wavelet-based numerical algorithm for the solution of HIV-infected CD4+T cells model. [PDF]
Eur Phys J Plus, 2023 Vivek, Kumar M, Mishra SN.
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A numerical method to solve fractional Fredholm-Volterra integro-differential equations
Alexandria Engineering Journal, 2023 The Goolden ratio is famous for the predictability it provides both in the microscopic world as well as in the dynamics of macroscopic structures of the universe. The extension of the Fibonacci series to the Fibonacci polynomials gives us the opportunity
Antonela Toma, Octavian Postavaru
doaj
Sums of powers of Fibonacci polynomials [PDF]
Proceedings - Mathematical Sciences, 2009 Using the explicit (Binet) formula for the Fibonacci polynomials, a summation formula for powers of Fibonacci polynomials is derived straightforwardly, which generalizes a recent result for squares that appeared in Proc. Ind. Acad. Sci. (Math. Sci.) 118 (2008) 27–41.
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The Power Sums Involving Fibonacci Polynomials and Their Applications
Symmetry, 2019 The Girard and Waring formula and mathematical induction are used to study a problem involving the sums of powers of Fibonacci polynomials in this paper, and we give it interesting divisible properties.
Li Chen, X. Wang
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Determinantal and permanental representation of generalized bivariate Fibonacci p-polynomials [PDF]
arXiv, 2011 In this paper, we give some determinantal and permanental representations of generalized bivariate Fibonacci p-polynomials by using various Hessenberg matrices. The results that we obtained are important since generalized bivariate Fibonacci p-polynomials are general form of, for example, bivariate Fibonacci and Pell p-polynomials, second kind ...
arxiv
Derivations and Identitites for Fibonacci and Lucas Polynomials
The Fibonacci Quarterly, 2013 We introduce the notion of Fibonacci and Lucas derivations of the polynomial algebras and prove that any element of kernel of the derivations defines a polynomial identity for the Fibonacci and Lucas polynomials. Also, we prove that any polynomial identity for Appel polynomial yields a polynomial identity for the Fibonacci and Lucas polynomials and ...
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Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]
Heliyon, 2023 Izadi M, Singh J, Noeiaghdam S.
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Generalizations of the Fibonacci and Lucas polynomials [PDF]
Filomat, 2009 In this note we consider two sequences of polynomials, which are denoted by {Un(k),m} and {Vn(k),m}, where k, m, n are nonnegative integers, and m ? 2. These sequences represent generalizations of the well-known Fibonacci and Lucas polynomials. For example, if m = 2, then we obtain exactly the Fibonacci and Lucas polynomials. If m = 3, then polynomials
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Combined Pseudo-Random Sequence Generator for Cybersecurity. [PDF]
Sensors (Basel), 2022 Maksymovych V +5 more
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