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Studying the Dynamics Response of Viscoelastic Orthotropic Plates Based on Fractional-Order Derivatives and Shifted Legendre Polynomials

Mathematics
This paper primarily investigates the dynamics response of viscoelastic orthotropic plates under a fractional-order derivative model, which is efficiently simulated numerically using the FKV (Fractional Kelvin–Voigt) model and the shifted Legendre ...
Qianqian Fan +5 more
doaj +1 more source

Adaptive Back-stepping Stability Control Strategy for MMC Based on Legendre Polynomial

Zhongguo dianli, 2022
In view of the poor stability control performance and frequent operation faults of the flexible HVDC transmission system due to the parameter changes of system dynamic model structure caused by serious signal interference or device temperature rise ...
Lei XU +5 more
doaj +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo +2 more
wiley +1 more source

On the Generalized Class of Multivariable Humbert-Type Polynomials

International Journal of Mathematics and Mathematical Sciences
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 ...
B. B. Jaimini +3 more
doaj +1 more source

Analysis of the fractional scattering contribution in the forward peak for multicomponent systems

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Derivation and justification of mixing rules for multicomponent systems. A novel formulation of the delta‐Eddington scaling rule. Analytical guidance for comparing radiative transfer results. Abstract The widely used δ‐Eddington approximation improves the accuracy of radiative transfer calculations by representing the fraction of scattering into the ...
Jiangnan Li, Yue Cai
wiley +1 more source

Multifractal Analysis of Unstable Polynomial Entropies in Partially Hyperbolic Systems

Fractal and Fractional
We investigate the multifractal structure of unstable local polynomial entropies for arbitrary Borel probability measures in partially hyperbolic dynamical systems.
Yangmei Mu, Lei Liu
doaj +1 more source

A novel improved extreme learning machine algorithm in solving ordinary differential equations by Legendre neural network methods

Advances in Difference Equations, 2018
This paper develops a Legendre neural network method (LNN) for solving linear and nonlinear ordinary differential equations (ODEs), system of ordinary differential equations (SODEs), as well as classic Emden–Fowler equations.
Yunlei Yang, Muzhou Hou, Jianshu Luo
doaj +1 more source

Enhancing Drone Light Shows Performances: Optimal Allocation and Trajectories for Swarm Drone Formations

Journal of Field Robotics, EarlyView.
ABSTRACT Drone light shows (DLShows) represent a rapidly growing application of swarm robotics, creating captivating aerial displays through the synchronized flight of hundreds or thousands of unmanned aerial vehicles (UAVs) as environmentally friendly and reusable alternatives to traditional pyrotechnics.
Yunes Alqudsi
wiley +1 more source

Option pricing with Legendre polynomials

Journal of Computational and Applied Mathematics, 2017
Here we develop an option pricing method based on Legendre series expansion of the density function. The key insight, relying on the close relation of the characteristic function with the series coefficients, allows to recover the density function rapidly and accurately. Based on this representation for the density function, approximations formulas for
Julien Hok, Tat Lung (Ron) Chan
openaire +4 more sources

Polynomial‐shaped electrodes for adaptive X‐ray optics

Journal of Synchrotron Radiation, EarlyView.
A shaped electrode design for lithium niobate adaptive X‐ray mirrors connects actuator degrees of freedom to specific polynomial orders, enabling general shape control and the correction of defocus, coma and fourth‐order aberrations with a limited number of inputs.For adaptive mirrors on X‐ray beamlines and optical systems, we describe a strategy for ...
Kenneth A. Goldberg, Francesco Marzari, Grant D. Cutler +2 more
wiley +1 more source

mathematics
legendre polynomials