Results 81 to 90 of about 24,811,169 (263)

Optimizing 3D Bin Packing of Heterogeneous Objects Using Continuous Transformations in SE(3)

Advanced Intelligent Systems, EarlyView.
This article presents a method for solving the three‐dimensional bin packing problem for heterogeneous objects using continuous rigid‐body transformations in SE(3). A heuristic optimization framework combines signed‐distance functions, neural network approximations, point‐cloud bin modeling, and physics simulation to ensure feasibility and stability ...
Michele Angelini, Marco Carricato
wiley   +1 more source

A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection method

Ain Shams Engineering Journal, 2018
In this paper, we present a numerical method proficient for solving a system of time–fractional partial differential equations. For this sake, we use spectral collection method based on shifted Chebyshev polynomials in space and finite difference method ...
Basim Albuohimad, Hojatollah Adibi, Saeed Kazem   +2 more
doaj   +1 more source

Numerical solution of the Bagley–Torvik equation using shifted Chebyshev operational matrix

Advances in Difference Equations, 2020
In this study, an efficient numerical scheme based on shifted Chebyshev polynomials is established to obtain numerical solutions of the Bagley–Torvik equation. We first derive the shifted Chebyshev operational matrix of fractional derivative.
Tianfu Ji, Jianhua Hou, Changqing Yang
doaj   +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

Two‐Dimensional Flow and Thermal Energy Transfer in Non‐Newtonian Casson–Carreau Ternary Hybrid Nanofluids Over Stationary and Moving Wedge Surfaces With Radiation and Magnetic Field Effects

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Efficient thermal management in advanced industrial systems requires improved heat transfer performance, particularly under non‐Newtonian fluid behavior and complex surface geometries. This study investigates the two‐dimensional flow and heat transfer characteristics of ternary hybrid nanofluids over both stationary and moving wedge surfaces ...
A. O. Akindele, A. M. Obalalu, M. O. Afolabi, Umair Khan, Samia Elattar   +4 more
wiley   +1 more source

Clenshaw algorithm in the interpolation problem by the Chebyshev collocation method

Discrete and Continuous Models and Applied Computational Science
The article describes a method for calculating interpolation coefficients of expansion using Chebyshev polynomials. The method is valid when the desired function is bounded and has a finite number of maxima and minima in a finite domain of interpolation.
P. Lovetskiy Konstantin, A. Tiutiunnik Anastasiia, Felix Jose do Nascimento Vicente, Celmilton Teixeira Boa Morte   +3 more
doaj   +1 more source

Variable Temperature Studies of Two Calcium Uranates α‐Ca3UO6 and Ca2UO5

Chemistry – A European Journal, EarlyView.
The structures and thermal responses of the calcium uranates α‐Ca3UO6 and Ca2UO5 were investigated using in situ synchrotron x‐ray diffraction and neutron powder diffraction. Despite the very similar chemical compositions, the structural response of the two calcium uranates is shown to be complex and varied.
Maria K. Nicholas, Timothy A. Ablott, Caleb J. Bennett, Bryce G. Mullens, Helen E. Maynard‐Casely, Wen Liang Tan, Jeremy L. Wykes, Yingjie Zhang, Brendan J. Kennedy   +8 more
wiley   +1 more source

Numerical solution of fractional diffusion equation by Chebyshev collocation method and residual power series method

Alexandria Engineering Journal, 2020
In this paper, we propose an efficient Chebyshev collocation scheme to solve diffusion problem including time fractional diffusion equation considering the fractional derivative in the Liouville-Caputo sense. By making use of shifted Chebyshev polynomial
Mine Aylin Bayrak, Ali Demir, Ebru Ozbilge   +2 more
doaj   +1 more source

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

An Operational Matrix Technique for Solving Variable Order Fractional Differential-Integral Equation Based on the Second Kind of Chebyshev Polynomials

Advances in Mathematical Physics, 2016
An operational matrix technique is proposed to solve variable order fractional differential-integral equation based on the second kind of Chebyshev polynomials in this paper. The differential operational matrix and integral operational matrix are derived
Jianping Liu, Xia Li, Limeng Wu
doaj   +1 more source