Legendre based neural networks integrated with heuristic algorithms for the analysis of Lorenz chaotic model: an intelligent and comparative study
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DOI: 10.1038/s41598-025-91911-2
Abstract: The optimal control methods for managing Lorenz model are achieved using an innovative intelligent computing framework that integrates artificial neural networks with stochastic unsupervised learning-based optimizers, specifically Firefly (FA) and Archimedes algorithm (AOA). The hyper… read more here.
Keywords: legendre based; model; lorenz model; lenn aoa ... See more keywords
Design and implementation of Legendre‐based neural network controller in grid‐connected PV systems
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DOI: 10.1049/iet-rpg.2019.0269
Abstract: This study presents the development of Legendre-based functional neural network algorithm for shunt compensation in photovoltaic (PV)-based grid-connected system. The controller is developed for improving power quality (PQ) and the compensator is controlled to work… read more here.
Keywords: neural network; power; controller; grid connected ... See more keywords
A Family of Generalized Legendre-Based Apostol-Type Polynomials
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DOI: 10.3390/axioms11010029
Abstract: Numerous polynomials, their extensions, and variations have been thoroughly explored, owing to their potential applications in a wide variety of research fields. The purpose of this work is to provide a unified family of Legendre-based… read more here.
Keywords: generalized legendre; legendre based; apostol; family generalized ... See more keywords
Insights into New Generalization of q-Legendre-Based Appell Polynomials: Properties and Quasi Monomiality
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DOI: 10.3390/math13060955
Abstract: In this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced. These polynomials are studied by means of generating functions, series expansions, and determinant representation. Further, by utilizing… read more here.
Keywords: three variable; legendre based; appell; variable legendre ... See more keywords