Results 51 to 60 of about 44,524 (180)

Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets [PDF]

Journal of Sciences, Islamic Republic of Iran, 2019
In this paper we reduce a free boundary problem from heat transfer to a weakly Singular Volterra  integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on ...
Bahman Babayar-Razlighi
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

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

Determinants of Tridiagonal and Circulant Matrices Special Form by Chebyshev Polynomials

JTAM (Jurnal Teori dan Aplikasi Matematika)
Along with the development of science, many researchers have found new methods to determine the determinant of a matrix of more than three orders.
Nurliantika Nurliantika, Fransiskus Fran, Yundari Yundari   +2 more
doaj   +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

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

INVESTIGATION OF THE KOLMOGOROV-WIENER FILTER FOR CONTINUOUS FRACTAL PROCESSES ON THE BASIS OF THE CHEBYSHEV POLYNOMIALS OF THE FIRST KIND

Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2020
This paper is devoted to the investigation of the Kolmogorov-Wiener filter weight function for continuous fractal processes with a power-law structure function.
Vyacheslav Gorev, Alexander Gusev, Valerii Korniienko   +2 more
doaj   +1 more source

A rational spectral collocation method with adaptively transformed Chebyshev grid points [PDF]

, 2005
A spectral collocation method based on rational interpolants and adaptive grid points is presented. The rational interpolants approximate analytic functions with exponential accuracy by using prescribed barycentric weights and transformed Chebyshev ...
Tee, T. W., Trefethen, Lloyd N.
core  

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

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