Results 11 to 20 of about 5,627,066 (294)

Functions represented into fractional Taylor series [PDF]

open access: yesITM Web of Conferences, 2019
Fractional Taylor series are studied. Then solutions of fractional linear ordinary differential equations (FODE), with respect to Caputo derivative, are approximated by fractional Taylor series.
Groza Ghiocel, Jianu Marilena
doaj   +1 more source

Comparison of the Solution of the Van der Pol Equation Using the Modified Adomian Decomposition Method and Truncated Taylor Series Method

open access: yesJournal of Nigerian Society of Physical Sciences, 2020
In this paper, we compare the solution of the van der Pol equation obtained by using the truncated Taylor series method and the modified Adomian decomposition method with the solution obtained by the Poincare-Lindstedt (P-L) method.
Joel Ndam, O. Adedire
doaj   +1 more source

Dual Taylor Series, Spline Based Function and Integral Approximation and Applications

open access: yesMathematical and Computational Applications, 2019
In this paper, function approximation is utilized to establish functional series approximations to integrals. The starting point is the definition of a dual Taylor series, which is a natural extension of a Taylor series, and spline based series ...
Roy M. Howard
doaj   +1 more source

Approximate solution of linear integral equations by Taylor ordering method: Applied mathematical approach

open access: yesOpen Physics, 2022
Since obtaining an analytic solution to some mathematical and physical problems is often very difficult, academics in recent years have focused their efforts on treating these problems using numerical methods.
Ghamkhar Madiha   +8 more
doaj   +1 more source

Smooth Universal Taylor Series

open access: yesMonatshefte für Mathematik, 2006
The authors consider a simply connected domain \(\Omega\) in the complex plane \({\mathbf C}\) with \(\{\infty\} \cup ({\mathbf C} \setminus \overline{\Omega})\) connected, as well as the space \(A^\infty (\Omega )\) of holomorphic functions \(f:\Omega \to {\mathbf C}\) that are smooth at the boundary, that is, such that every derivative \(f^{(n)}\) \((
Kariofillis, Ch.   +2 more
openaire   +2 more sources

Taylor Series Based Numerical Integration Method

open access: yesOpen Computer Science, 2020
This article deals with a high order integration method based on the Taylor series. The paper shows many positive properties of this method on a set of technical initial value problems.
Veigend Petr   +2 more
doaj   +1 more source

Model of the telegraph line and its numerical solution

open access: yesOpen Computer Science, 2018
This paper deals with a model of the telegraph line that consists of system of ordinary differential equations, rather than partial differential telegraph equation. Numerical solution is then based on an original mathematical method. This method uses the
Veigend Petr   +2 more
doaj   +1 more source

Newton series expansion of bosonic operator functions

open access: yesSciPost Physics, 2021
We show how series expansions of functions of bosonic number operators are naturally derived from finite-difference calculus. The scheme employs Newton series rather than Taylor series known from differential calculus, and also works in cases where the ...
Jürgen König, Alfred Hucht
doaj   +1 more source

Taylor University Profile (January 1975) [PDF]

open access: yes, 1975
Taylor Clubs stage varied programs – Taylor Represented at Conference – Teaching Opportunities at Taylor – Wrestlers Score Big Wins – Trojans Capture Holiday Tourney – Coming Events – Taylor Trustees Name New President – Contemporary Series Features Ray ...
Taylor University
core   +1 more source

Gaussian integral by Taylor series and applications

open access: yesREMAT, 2021
In this paper, we present a solution for a specific Gaussian integral. Introducing a parameter that depends on a n index, we found out a general solution inspired by the Taylor series of a simple function.
Lázaro Lima de Sales   +5 more
doaj   +1 more source

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