Results 71 to 80 of about 45,837 (216)

A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels

Heliyon
Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation ...
Khadijeh Sadri, David Amilo, Evren Hinçal, Kamyar Hosseini, Soheil Salahshour   +4 more
doaj   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Ternary spaces, media, and Chebyshev sets [PDF]

Czechoslovak Mathematical Journal, 1983
This paper extends various results on ternary algebras, particularly the reviewer's in Trans. Am. Math. Soc. 260, 319-362 (1980; Zbl 0446.06007). Some are extended to abstract ternary spaces: sets with a relation abc that is reversible \((abc\Rightarrow cba)\), separated (abc and acb \(\Leftrightarrow b=c)\), and satisfies two patching conditions (if ...
openaire   +1 more source

Numerical approximations for population growth model by Rational Chebyshev and Hermite Functions collocation approach: A comparison

, 2010
This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approach to solve the Volterra's model for population growth of a species within a closed system.
Al-Khaled, Boyd, Boyd, Boyd, Boyd, Boyd, Christov, Coulaud, Funaro, Funaro, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Iranzo, Liu, Maday, Marzban, Momani, Parand, Parand, Parand, Parand, Parand, Parand, Parand, Parand, Ramezani, Scudo, Shen, Shen, Shen, Shen, Siyyam, Small, Tang, TeBeest, Wazwaz, Xu   +42 more
core   +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

A sensitivity measure of the Pareto set in a vector linfnity-extreme combinatorial problem [PDF]

Computer Science Journal of Moldova, 2001
We consider a vector minimization problem on system of subsets of finite set with Chebyshev norm in a space of perturbing parameters. The behavior of the Pareto set as a function of parameters of partial criteria of the kind MINMAX of absolute value is ...
V.A. Emelichev, A.M. Leonovich
doaj  

Design and Analysis of a Security-Enhanced Three-Party Authenticated Key Agreement Protocol Based on Chaotic Maps

IEEE Access, 2020
A three-party authenticated key agreement (3PAKA) protocol allows two protocol entities to authenticate and agree on a common session key over common communication channels with the help of a trust server.
Yilong Zheng, Shunfang Hu, Liangxiong Wei, Yanru Chen, Hao Wang, Yanbing Yang, Yang Li, Bingjie Xu, Wei Huang, Liangyin Chen   +9 more
doaj   +1 more source

Elastoplasticity Informed Kolmogorov–Arnold Networks Using Chebyshev Polynomials

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Multilayer perceptron (MLP) networks are predominantly used to develop data‐driven constitutive models for granular materials. They offer a compelling alternative to traditional physics‐based constitutive models in predicting non‐linear responses of these materials, for example, elastoplasticity, under various loading conditions. To attain the
Farinaz Mostajeran, Salah A. Faroughi
wiley   +1 more source

Modelling of Chaotic Processes with Caputo Fractional Order Derivative

Entropy, 2020
Chaotic dynamical systems are studied in this paper. In the models, integer order time derivatives are replaced with the Caputo fractional order counterparts. A Chebyshev spectral method is presented for the numerical approximation.
Kolade M. Owolabi, José Francisco Gómez-Aguilar, G. Fernández-Anaya, J. E. Lavín-Delgado, E. Hernández-Castillo   +4 more
doaj   +1 more source

Pickin' up good vibrations: a systematic review of footfall detection and analysis in the realm of wildlife surveying

Wildlife Biology, EarlyView.
Exploration of new wildlife surveying methodologies that leverage advances in sensor technology and machine learning has led to tentative research into the application of seismology techniques. This, most commonly, involves the deployment of a footfall trap – a seismic sensor and data logger customised for wildlife footfall.
Benjamin J. Blackledge, Luigi La Spada, Robert A. Briers, Niamh M. McHugh, Patrick J. C. White   +4 more
wiley   +1 more source