Results 51 to 60 of about 316 (181)

Numerical solution of one- and two-dimensional time-fractional Burgers equation via Lucas polynomials coupled with Finite difference method

Alexandria Engineering Journal, 2022
In this article, a numerical technique based on polynomials is proposed for the solution of one and two-dimensional time-fractional Burgers equation. First, the given problem is reduced to time discrete form using θ-weighted scheme.
Ihteram Ali, Sirajul Haq, Saud Fahad Aldosary, Kottakkaran Sooppy Nisar, Faraz Ahmad   +4 more
doaj   +1 more source

Automating Algorithm Experiments With ALGator: From Problem Modeling to Reproducible Results

Software: Practice and Experience, Volume 56, Issue 1, Page 26-41, January 2026.
ABSTRACT Background Theoretical algorithm analysis provides fundamental insights into algorithm complexity but relies on simplified and often outdated computational models. Experimental algorithmics complements this approach by evaluating the empirical performance of algorithm implementations on real data and modern computing platforms.
Tomaž Dobravec
wiley   +1 more source

Linear regression with Fibonacci-derived polynomials for temperature prediction model

Discover Data
This research work explores the integration of Fibonacci-derived polynomial and linear equations from Fibonacci numbers into a machine learning framework for predictive modeling of environmental datasets, such as wind speed, temperature, and humidity ...
Ahmed O. Ameen, Johnson O. Fashanu
doaj   +1 more source

FPGA Realization of a Novel Hyperchaos Augmented Image Encryption Algorithm

IET Computers &Digital Techniques, Volume 2026, Issue 1, 2026.
With the rapid growth of multimedia communication, protecting image data has become increasingly critical. This article proposes a novel 3‐stage hyperchaos‐based augmented image encryption technique (3SHAIET) that utilizes a three‐stage process with chaotic systems of increasing dimensionality (e.g., six‐dimensional [6D], 8D, and 9D) to enhance ...
Wassim Alexan, Noura H. Elshabasy, Eyad Mamdouh, Remas Osama, Mohamed A. Abd El Ghany, Dina El-Damak, Jim Harkin   +6 more
wiley   +1 more source

VECTOR APPROACH TO A NEW GENERALIZATION OF FIBONACCI POLYNOMIAL

Journal of New Theory, 2017
Abstaract−In this paper we introduce a new generalization of Fibonacci polynomial and vectors of length d are defined for these Polynomials.
Ashok Dnyandeo Godase, Machindra Baban Dhakne   +1 more
doaj  

Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers

Abstract and Applied Analysis, 2014
Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial.
Tingting Xu, Zhaolin Jiang, Ziwu Jiang
doaj   +1 more source

2-Fibonacci polynomials in the family of Fibonacci numbers [PDF]

Notes on Number Theory and Discrete Mathematics, 2018
In the present study, we define new 2-Fibonacci polynomials by using terms of a new family of Fibonacci numbers given in [4]. We show that there is a relationship between the coefficient of the 2-Fibonacci polynomials and Pascal's triangle. We give some identities of the 2-Fibonacci polynomials.
Ozkan, Engin, Tastan, Merve, Aydogdu, Ali   +2 more
openaire   +2 more sources

A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas‐balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties. Also, we provide some applications in cryptography.
T. Al-Asoully, A. Al-Kateeb, Abdul Rauf Khan   +2 more
wiley   +1 more source

On Certain Properties of Parametric Kinds of Apostol-Type Frobenius–Euler–Fibonacci Polynomials

Axioms
This paper presents an overview of cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials, as well as several identities that are associated with these polynomials.
Hao Guan, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Computational Framework for Numerical Simulation of Fractional‐Order Financial Crime Model via Lucas Collocation Technique

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
The Lucas collocation approach is used in this study to approximate a fractional‐order financial crime model (FOFCM) numerically. The model categorizes the population into five groups: persons without a financial criminal past, those inclined toward financial crimes, active participants, individuals undergoing prosecution, and those imprisoned.
Mahmoud Abd El-Hady, Homan Emadifar, Mehdi Hariri, Atallah El-Shenawy, Chong Lin   +4 more
wiley   +1 more source