Results 41 to 50 of about 31,890 (192)

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

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

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

Discrete limit theorems for trigonometric polynomials

Lietuvos Matematikos Rinkinys, 1999
There is not abstract.
Roma Kačinskaitė
doaj   +3 more sources

Novel Hybrid Unequal-Sized WENO Scheme Employing Trigonometric Polynomials for Solving Hyperbolic Conservation Laws on Structured Grids

Mathematics
This study presents a novel fifth-order unequal-sized trigonometric weighted essentially non-oscillatory (US-TWENO) scheme and a novel hybrid US-TWENO (HUS-TWENO) scheme with a novel troubled cell indicator in a finite difference framework to address ...
Yanmeng Wang, Liang Li, Jun Zhu
doaj   +1 more source

Characteristics of linear and nonlinear approximation of isotropic classes of periodic multivariate functions

Karpatsʹkì Matematičnì Publìkacìï, 2023
Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained ...
A.S. Romanyuk, V.S. Romanyuk, K.V. Pozharska, S.B. Hembars'ka   +3 more
doaj   +1 more source

Developing a Heterogeneous Attenuation Model for Fiber Reinforced Thermoplastic Composites in the Kilohertz Region of the Ultrasonic Spectrum

Polymer Composites, EarlyView.
Acquisition, filtering and modeling by genetic programming (tree pattern) of the acoustic signal for fiber‐filled composites. ABSTRACT This study experimentally investigated the discrete phase contributions of fibers and entrapped air on the attenuation spectrum of a fiber‐filled thermoplastic composite and derives a mathematical expression for sound ...
Austin D. Bedrosian, Andrew Hrymak, Gisela Lanza, Michael R. Thompson   +3 more
wiley   +1 more source

Shape Invariant Rational Extensions And Potentials Related to Exceptional Polynomials

, 2015
In this paper, we show that an attempt to construct shape invariant extensions of a known shape invariant potential leads to, apart from a shift by a constant, the well known technique of isospectral shift deformation.
Kapoor, A. K, Ranjani, S. Sree, Sandhya, R.   +2 more
core   +1 more source

Piecewise quadratic trigonometric polynomial curves [PDF]

Mathematics of Computation, 2003
Summary: Analogous to the quadratic B-spline curve, a piecewise quadratic trigonometric polynomial curve is presented. The quadratic trigonometric polynomial curve has \(C^2\) continuity, while the quadratic B-spline curve has \(C^1\) continuity. The quadratic trigonometric polynomial curve is closer to the given control polygon than the quadratic B ...
openaire   +1 more source