Results 41 to 50 of about 3,143,040 (244)

Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations

Journal of New Theory, 2023
In this study, Chebyshev polynomials have been applied to construct an approximation method to attain the solutions of the linear fractional Fredholm integro-differential equations (IDEs).
Dilek Varol
doaj   +1 more source

Strong Proton‐Phonon Coupling Drives Fast Ion Transport in Perovskites

Advanced Science, EarlyView.
Experimental and computational phonon analysis of ABO3‐type proton conductor BaSnO3 shows that substitution on the B‐site with yttrium forms an imaginary phonon mode which is instrumental for the function as proton conductor. This overcompensates the adverse proton trapping effect of the yttrium.
Alexey Rulev, Nobumoto Nagasawa, Hongxin Wang, Vladimir Pomjakushin, Martin Kunz, Yoshitaka Yoda, Stephen P. Cramer, Qianli Chen, Artur Braun   +8 more
wiley   +1 more source

How Particle Size Affects Consolidation Behavior, Strain and Properties of Li6PS5Cl Fast Ionic Conductors

Advanced Energy Materials, EarlyView.
The densification process of Li6PS5Cl powders with varying particles size distributions reveals differences in smaller and larger distributions. Higher strain is revealed for the smaller particle size distribution from X‐ray diffraction. Discrete element method simulations uncover that the reason for the higher strain is not the particle size itself ...
Vasiliki Faka, Mohammed Alabdali, Martin A. Lange, Franco M. Zanotto, Can Yildirim, Mikael Dahl Kanedal, Jędrzej Kondek, Matthias Hartmann, Oliver Maus, Dominik Daisenberger, Michael Ryan Hansen, Jozef Keckes, Daniel Rettenwander, Alejandro A. Franco, Wolfgang G. Zeier   +14 more
wiley   +1 more source

Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Potential

Advances in Mathematical Physics, 2022
The unsteady electroosmotic flow (EOF) for one kind of linear viscoelastic fluid, which is Jeffrey type fluid, is investigated under the common impact of vertical magnetic field, external electric field, and pressure at high Zeta potential in a circular ...
Meirong Ren, Tiange Zhang, Jifeng Cui, Xiaogang Chen, Bixia Wu   +4 more
doaj   +1 more source

Torque‐Transmitting Architected Metamaterials for Flexible and Extendable Tubular Robotics

Advanced Intelligent Systems, EarlyView.
Soft and continuum robots commonly rely on fluid, tendon, or rod‐based power transmissions, to control robotic form and actuation. This study presents an architected structure, based on patterned straight‐line mechanisms, that enables simultaneous bending, extending, and torsionally rigid (BETR) transmission.
Sawyer Thomas, Aman Garg, Jeffery Lipton
wiley   +1 more source

Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
wiley   +1 more source

A discrete spectral method for time fractional fourth-order 2D diffusion-wave equation involving ψ-Caputo fractional derivative

Results in Applied Mathematics
In this work, the ψ-Caputo fractional derivative, as a generalization of the classical Caputo fractional derivative in which the fractional derivative of a sufficiently differentiable function is defined with respect to another strictly increasing ...
M.H. Heydari, M. Razzaghi
doaj   +1 more source

A hybrid method for solving time fractional advection–diffusion equation on unbounded space domain

Advances in Difference Equations, 2020
In this article, a hybrid method is developed for solving the time fractional advection–diffusion equation on an unbounded space domain. More precisely, the Chebyshev cardinal functions are used to approximate the solution of the problem over a bounded ...
H. Azin, F. Mohammadi, M. H. Heydari
doaj   +1 more source

Chebyshev collocation treatment of Volterra–Fredholm integral equation with error analysis

Arabian Journal of Mathematics, 2019
This work reports a collocation algorithm for the numerical solution of a Volterra–Fredholm integral equation (V-FIE), using shifted Chebyshev collocation (SCC) method. Some properties of the shifted Chebyshev polynomials are presented.
Youssri Hassan Youssri, R. Hafez
semanticscholar   +1 more source

Study on fracture parameter calibration and failure characteristics of rock with hole and crack

Deep Underground Science and Engineering, EarlyView.
The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley   +1 more source