Results 41 to 50 of about 125,910 (166)

Memory‐Driven Multi‐Objective Optimisation for Diverse Subway Route Recommendation

IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.
Traditional single‐objective path planning algorithms frequently fail to address the multidimensional and diverse demands of modern urban subway passengers. To overcome this limitation, the authors propose a multi‐objective optimisation framework that integrates the A* and Yen's K shortest path algorithms while explicitly incorporating passenger memory
Jianlin Jia, Shihui Jiang, Yanyan Chen, Yunqiu Qiu   +3 more
wiley   +1 more source

Generalized Fibonacci Polynomials and Their Properties

Symmetry
This study presents a unified framework for the simultaneous analysis of generalized Fibonacci numbers and their associated polynomial extensions, both of which play a significant role in combinatorial analysis and discrete mathematics. The generalized Fibonacci polynomials have been extended to four new families of polynomials, each defined through ...
Sibel Koparal, Nese Ömür, Sezer Boz, Khidir Shaib Mohamed, Waseem Ahmad Khan, Alawia Adam   +5 more
openaire   +3 more sources

Incomplete Bivariate Fibonacci and Lucas -Polynomials [PDF]

, 2012
We define the incomplete bivariate Fibonacci and Lucas -polynomials. In the case =1, =1, we obtain the incomplete Fibonacci and Lucas -numbers. If =2, =1, we have the incomplete Pell and Pell-Lucas -numbers.
Dursun Tasci, Naim Tuglu, Mirac Cetin Firengiz, Dursun Tasci, TUĞLU, NAİM, Firengiz, Mirac Cetin, TAŞCI, DURSUN   +6 more
core   +1 more source

Independence Polynomial‐Based Approach for Fredholm–Volterra Integro‐Differential Problems of High Order

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A numerical collocation approach employing independence polynomials of paths is formulated to approximate the solutions of high‐order linear Fredholm–Volterra integro‐differential problems under mixed conditions. The proposed approach transforms the given equation and conditions into a matrix form, leading to a linear system whose unknowns are the ...
Fatma Kaci, Kang-Jia Wang
wiley   +1 more source

Fractional Dynamics of Nonlinear Liquid Dispersion Pattern Drops: A Robust Analytical Study of Modulation Instability and Compacton Structures

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
Nonlinear dispersion phenomena in liquid media often lead to the formation of localized structures such as compact wave packets and dispersion drops. The present investigation demonstrates that the proposed analytical framework yields accurate approximate solutions, successfully captures compacton‐like structures, and clearly reveals the critical ...
Yogeshwari F. Patel, Mohammad Izadi, Hany M. Ahmed, Rajesh Kumar   +3 more
wiley   +1 more source

On Generalized Fibonacci Polynomials: Horadam Polynomials

Earthline Journal of Mathematical Sciences, 2022
In this paper, we investigate the generalized Fibonacci (Horadam) polynomials and we deal with, in detail, two special cases which we call them $(r,s)$-Fibonacci and $(r,s)$-Lucas polynomials. We present Binet's formulas, generating functions, Simson's formulas, and the summation formulas for these polynomial sequences.
openaire   +2 more sources

Modeling Spiral Chaos in Predator–Prey Dynamics Using Implicit Integration Factor Schemes

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
This paper presents efficient implicit integration factor (IIF) methods as robust alternatives to classical finite difference schemes for the numerical solution of nonlinear time‐dependent reaction–diffusion equations in one and two spatial dimensions.
Kolade M. Owolabi, Sonal Jain, Edson Pindza, Eben Maré, Bapan Ghosh   +4 more
wiley   +1 more source

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

Sum of Squares of Mulatu Numbers That Are Powers of 2

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this work, we fully characterize all nonnegative integer solutions (n, m, a) to the Diophantine equation Mn2+Mm2=2a, where Mkk≥0 is the Mulatu sequence. The argument employs Matveev’s explicit lower bound for linear forms in logarithms of algebraic numbers together with the reduction technique of Dujella and Pethö to obtain an absolute upper bound ...
Ahmed Gaber, Mohiedeen Ahmed, Walid Wannes, Shikha Binwal   +3 more
wiley   +1 more source

On the Two‐Term Zeckendorf Representations of the Padovan and Perrin Sequences

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we completely solve the Diophantine equations Pm = Fn + Fk and Em = Fn + Fk under the condition n ≥ k + 2 ≥ 4, where Pm is the m‐th Padovan number, Em is the m‐th Perrin number, and Fk is the k‐th Fibonacci number. This work determines all terms of the Padovan and Perrin sequences that admit a unique two‐term Zeckendorf representation ...
Awaou Lare Ousseni, Japhet Odjoumani, Appolinaire Dossavi-Yovo, Guy Degla, Deli Zhang   +4 more
wiley   +1 more source