Results 41 to 50 of about 41,706 (192)

Universal centers in the cubic trigonometric Abel equation

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We study the center problem for the trigonometric Abel equation $d \rho/ d \theta= a_1 (\theta) \rho^2 + a_2(\theta) \rho^3,$ where $a_1(\theta)$ and $a_2(\theta)$ are cubic trigonometric polynomials in $\theta$.
Jaume Giné, Maite Grau, Xavier Santallusia   +2 more
doaj   +1 more source

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, EarlyView.
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas, Leonidas Mindrinos, Paraskevi Londra   +2 more
wiley   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Review on non-polynomial high-order accuracy nonlinear weighted schemes

Kongqi donglixue xuebao
In comparison to linear schemes, the nonlinear errors inherent in polynomial-based high-order nonlinear weighted schemes significantly affect the resolution when solving weak solutions of hyperbolic conservation laws. To mitigate this impact, researchers
Haomin Li, Meiliang Mao, Jinwei Bai, Weizhong Dong, Huajun Zhu   +4 more
doaj   +1 more source

THE MEAN LIGHT CURVES OF THE MIRA-TYPE STARS IN THE H- AND K-BANDS

Odessa Astronomical Publications, 2016
. For nine Mira-type stars (o Cet, R Leo, S Car, U Her, X Oph, R Aql, RR Aql, S Ori, S Scl,) and one semi-regular star (L2 Pup), the mean light curves have been obtained.
L. S. Kudashkina
doaj   +1 more source

Elementary results for the fundamental representation of SU(3)

, 2015
A general group element for the fundamental representation of SU(3) is expressed as a second order polynomial in the hermitian generating matrix H, with coefficients consisting of elementary trigonometric functions dependent on the sole invariant det(H),
Curtright, Thomas L., Zachos, Cosmas K.
core   +1 more source

Single Smooth Waveform Command‐Shaping Control of Overhead Crane Systems Utilizing Two‐Stage Acceleration–Deceleration Profile for Short‐Moving Point‐to‐Point Maneuver

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern industrial demand for efficient material handling in confined spaces has driven the need for overhead cranes capable of short‐distance point‐to‐point maneuvers without compromising payload stability. Conventional three‐stage shaper profiles, experiencing acceleration, cruising, and deceleration, become inefficient or infeasible for ...
Mohammed Alfares, Jasem Baroon, Khaled Alhazza   +2 more
wiley   +1 more source

Algorithms for trigonometric polynomials [PDF]

Proceedings of the 2001 international symposium on Symbolic and algebraic computation, 2001
In this paper we present algorithms for simplifying ratios of trigonometric polynomials and algorithms for dividing, factoring and computing greatest common divisors of trigonometric polynomials, that is, polynomials in sin(x) and cos(x).
Jamie Mulholland, Michael Monagan
openaire   +1 more source

Dispersion relation for water waves with non-constant vorticity

, 2012
We derive the dispersion relation for linearized small-amplitude gravity waves for various choices of non-constant vorticity. To the best of our knowledge, this relation is only known explicitly in the case of constant vorticity.
Constantin, Hur, Kantardgi, Kantardgi, Paschalis Karageorgis   +4 more
core   +1 more source

Nonlinear Vibration Characteristic Analysis of Electric Vehicle–Road Coupling System

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT In‐wheel motor drive is the developing direction of automobile electrification and intelligence. However, the increased unsprung mass in in‐wheel motor‐driven electric vehicles (IWMEVs) leads to higher dynamic tire loads, thereby intensifying vehicle–road coupling interactions. To address this problem, an 11‐degree‐of‐freedom nonlinear dynamic
Guizhen Feng, Shaohua Li, Xuewei Wang
wiley   +1 more source