Results 61 to 70 of about 962 (220)

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, Muktarebatul Jannah, Md. Habibul Bashar, Md. Ekramul Islam, Md. Zuel Rana, Mst. Tania Khatun, Md. Noor-A-Alam Siddiki, Md. Shahinur Islam, Shikha Binwal   +8 more
wiley   +1 more source

New convolved Fibonacci collocation procedure for the Fitzhugh–Nagumo non-linear equation

Nonlinear Engineering
This 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, Al-Harbi Mohamed Salem, Atta Ahmed Gamal   +2 more
doaj   +1 more source

On the Generalized Class of Multivariable Humbert‐Type Polynomials

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The present paper deals with the class of multivariable Humbert polynomials having generalization of some well‐known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović‐Djordjević, Horadam, Horadam‐Pethe, Pathan and Khan, a class of generalized Humbert polynomials in two variables etc.
B. B. Jaimini, Meenu, S. D. Purohit, D. L. Suthar, Shikha Binwal   +4 more
wiley   +1 more source

Some new results for the generalized bivariate Fibonacci and Lucas polynomials [PDF]

Mathematica Moravica
In this paper, new identities are obtained by using the generalized bivariate Fibonacci and Lucas polynomials. Firstly, several binomial summations and the closed formulas for summation of powers are investigated for these polynomials.
Yılmaz Nazmıye
doaj   +1 more source

Narayana Numbers With Zeckendorf Partition in Two Terms

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Narayan’s cow sequence starts with the terms 1, 1, and 1. Each subsequent term is obtained as the sum of the previous term and the term three places before. A term of this sequence is called a Narayana number. The mathematician Zeckendorf proved that every positive integer has a unique decomposition into a sum of distinct and nonconsecutive ...
Japhet Odjoumani, Salifou Nikiema, Shikha Binwal   +2 more
wiley   +1 more source

Incomplete generalized Fibonacci and Lucas polynomials [PDF]

Hacettepe Journal of Mathematics and Statistics, 2015
In this paper, we define the incomplete h(x)-Fibonacci and h(x)-Lucas polynomials, we study recurrence relations and some properties of these ...
openaire   +3 more sources

Series and Rational Solutions of the Second Kind Painlevé Equations by Using the Quantum Pseudospectral Method

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Painlevé equations and their series and rational solutions are essential in applied, pure mathematics and theoretical physics. Recently, quantum algorithms have helped to implement numerical algorithms more easily by performing linear algebra in our working. This article uses a hybrid of quantum computing schemes and spectral methods for the second
Saeid Abbasbandy, Shikha Binwal
wiley   +1 more source

Expressing Sums of Finite Products of Chebyshev Polynomials of the Second Kind and of Fibonacci Polynomials by Several Orthogonal Polynomials

Mathematics, 2018
This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon, Dmitry V. Dolgy   +3 more
doaj   +1 more source

Efficient Recovery of Linear Predicted Coefficients Based on Adaptive Steepest Descent Algorithm in Signal Compression for End‐to‐End Communications

Journal of Electrical and Computer Engineering, Volume 2025, Issue 1, 2025.
The efficiency of recovery and signal decoding efficacy at the receiver in end‐to‐end communications using linearly predicted coefficients are susceptible to errors, especially for highly compressed signals. In this paper, we propose a method to efficiently recover linearly predicted coefficients for high signal compression for end‐to‐end ...
Abel Kamagara, Abbas Kagudde, Baris Atakan, Andrea Tani   +3 more
wiley   +1 more source

Subordination Properties of Bi‐Univalent Functions Involving Horadam Polynomials

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this research, we investigate a family of q‐extensions defined on an open unit disk, which is based on bi‐univalent functions associated with differential subordination. Next, we define certain classes of bi‐univalent functions using generalized Horadam polynomials.
Ebrahim Amini, Shrideh Al-Omari, Abdul Rauf Khan   +2 more
wiley   +1 more source