Results 51 to 60 of about 4,240 (200)

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
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Hybrid approximations for fractional calculus [PDF]

ITM Web of Conferences, 2019
In this paper, a numerical method for solving the fractional differential equations is presented. The method is based upon hybrid functions approximation.
Razzaghi Mohsen
doaj   +1 more source

Graphs of taylor polynomials

, 2016
Choose the maximum degree of the Taylor polynomial to use to approximate a variety of functions and manipulate the expansion point. To see the error in the approximation, select the "error" checkbox and use the slider that appears under the graph. Adjust
Brown, Abby
core   +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

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

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
doaj   +1 more source

Taylor Polynomials

, 2006
Before the age of calculators, studying functions such as sin x, cos x , ex , and ln x was quite time consuming. The graphs of these functions are important when studying their characteristics. James Gregory, a Scottish mathematician in the 17th century,
Glasshoff, Doug
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Sibling curves of cubic polynomials [PDF]

, 2020
Sibling curves are a new way to represent the zeroes of any complexvalued function. Interesting results are already known for the sibling curves of quadratic polynomials.
Wiggins, Harry
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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
doaj   +1 more source

Taylor Polynomials II

, 2001
Using Maple, Mathmatica, or MatLab, learner should be able to continue study of polynomial approximations Pn(x) to a function f(x) (begun in Taylor Polynomials I); in particular, to study the set of numbers x for which Pn(x) approaches f(x) as n becomes ...
Smith, David; Moore, Lawrence
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