Results 81 to 90 of about 1,239,411 (205)

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 ...
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Numerical integration of the boundary value problems for the second order nonlinear ordinary differential equations of an arbitrary structure using an iterative procedure

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
An iterative procedure for numerical integration of boundary-value problems for nonlinear ordinary differential equations of the second order of arbitrary structure is suggested.
Vladimir N Maklakov
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The maximal tubes under the deformations of a class of 3-dimensional hyperbolic cone-manifolds

, 2004
Recently, Hodgson and Kerckhoff found a small bound on Dehn surgered 3-manifolds from hyperbolic knots not admitting hyperbolic structures using deformations of hyperbolic cone-manifolds.
C. Hodgson, D. Cooper, Jungkeun Lee, Jungkeun Lee, M. Culler, S. Bleiler, S. Kerckho, S. Kojima, Suhyoung Choi, W. Neumann   +9 more
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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
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Nonexistence results for the Korteweg-deVries and Kadomtsev-Petviashvili equations

, 1999
We study characteristic Cauchy problems for the Korteweg-deVries (KdV) equation $u_t=uu_x+u_{xxx}$, and the Kadomtsev-Petviashvili (KP) equation $u_{yy}=\bigl(u_{xxx}+uu_x+u_t\bigr)_x$ with holomorphic initial data possessing nonnegative Taylor ...
Joshi, Nalini, Petersen, Johannes A., Schubert, Luke M.   +2 more
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Abel's Convolution Formulae through Taylor Polynomials

Maltepe Journal of Mathematics, 2023
By making use of the Taylor polynomials, new proofs are presented for three binomial identities including Abel’s convolution formula.
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Intrinsic Polynomial Squeezing for Balakrishnan-Taylor Beam Models

, 2023
short ...
Tavares, E. H. Gomes, Silva, M. A. Jorge, Narciso, V., Vicente, A.   +3 more
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A Taylor-type numerical method for solving nonlinear ordinary differential equations

Alexandria Engineering Journal, 2013
A novel approximate method is proposed for solving nonlinear differential equations. Chang and Chang in [8] suggested a technique for calculating the one-dimensional differential transform of nonlinear functions.
H. Saberi Nik, F. Soleymani
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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
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The evaluation of the order of approximation of the matrix method for numerical integration of the boundary value problems for systems of linear non-homogeneous ordinary differential equations of the second order with variable coefficients. Message 2. Boundary value problems with boundary conditions of the second and third kind

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
We present the second message of the cycle from two articles where the rearrangement of the order of approximation of the matrix method of numerical integration depending on the degree in the Taylor’s polynomial expansion of solutions of boundary value ...
Vladimir N Maklakov
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