Results 61 to 70 of about 1,508,171 (301)

The novel Leal-polynomials for the multi-expansive approximation of nonlinear differential equations

Heliyon, 2020
This work presents the novel Leal-polynomials (LP) for the approximation of nonlinear differential equations of different kind. The main characteristic of LPs is that they satisfy multiple expansion points and its derivatives as a mechanism to replicate ...
Hector Vazquez-Leal, Mario Alberto Sandoval-Hernandez, Uriel Filobello-Nino, Jesus Huerta-Chua   +3 more
doaj   +1 more source

On orthogonal polynomials and related discrete integrable systems [PDF]

, 2006
Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
core  

Dynamic Performance Enhancement of a High‐Agility Hypersonic Mechanical System via a Learning‐Augmented Robust Control Architecture

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori, Seyed Hossein Sadati   +1 more
wiley   +1 more source

A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials [PDF]

Surveys in Mathematics and its Applications, 2021
The purpose of this article is to introduce a new subclass ℋΣ(δ,λ,m,θ,x) of analytic and bi-univalent functions by using the Horadam polynomials, which is associated with the Pascal distribution series and to investigate the bounds for |a2| and |a3 ...
H. M. Srivastava, A. K. Wanas, G. Murugusundaramoorthy   +2 more
doaj  

Analytical Methodology to Determine Thermally Induced Soil Deformation From Laboratory Data

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Experimental laboratory investigations underlie most of the knowledge about the mechanics of soils under non‐isothermal conditions and their thermally induced deformation. Despite advances, the understanding of thermally induced deformation of soils remains inconsistent, hindering the development of a coherent framework that can advance ...
Jibril B. Coulibaly, Alessandro F. Rotta Loria   +1 more
wiley   +1 more source

A new type of Taylor series expansion

Journal of Inequalities and Applications, 2018
We present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symbolic ...
Mohammad Masjed-Jamei, Zahra Moalemi, Iván Area, Juan J. Nieto   +3 more
doaj   +1 more source

Polynomials and Taylor’s Approximations

Journal of the Institute of Engineering, 2017
The main objective of this article is to make a formal description of the polynomial, polynomial equations with definitions and their properties. Besides studying some of its uses in real life situations, we shall discuss polynomial approximation using higher order derivatives.Journal of the Institute of Engineering, 2016, 12(1): 214 ...
openaire   +2 more sources

Barriers and opportunities for further enhancing urban garden biodiversity: Insights from a behaviour change model for the United Kingdom

People and Nature, EarlyView.
Abstract Urbanisation poses a major threat to biodiversity, yet residential gardens offer opportunities to provide key habitats for urban wildlife. Understanding both the perceived feasibility of implementing further improvements to gardens for biodiversity and the barriers that constrain engagement is essential for designing effective conservation ...
Kelly Hitchcock, Andrew Moss, Richard W. Yarnell, Gregory Counsell, Leah J. Williams, Kat Hamill, Simon Tollington   +6 more
wiley   +1 more source

Improved construction method for regional geomagnetic benchmark map based on Taylor polynomial modeling

Shenzhen Daxue xuebao. Ligong ban
To address the issues of limited accuracy and poor adaptability in the traditional geomagnetic benchmark map modeling, we propose a construction method for regional geomagnetic benchmark map based on Taylor polynomial expansion.
LI Yunhong, LI Yunti, LI Shibo, AN Yuxin, HU Yingjie, ZHANG Zhaozhao, LIU Wanghong   +6 more
doaj   +1 more source

Goursat problem in Hyperbolic partial differential equations with variable coefficients solved by Taylor collocation method [PDF]

Iranian Journal of Numerical Analysis and Optimization
The hyperbolic partial differential equation (PDE) has important practical uses in science and engineering. This article provides an estimate for solving the Goursat problem in hyperbolic linear PDEs with variable coefficients.
F. Birem, A. Boulmerka, H. Laib, C. Hennous   +3 more
doaj   +1 more source