Results 21 to 30 of about 151,058 (258)
, 2019 We propose a renovated approach around the use of Taylor expansions to provide polynomial approximations. We introduce a coinductive type scheme and finely-tuned operations that altogether constitute an algebra, where our multivariate Taylor expansions are first-class objects.
Xavier Thirioux, Alexis Maffart
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Functions represented into fractional Taylor series [PDF]
ITM 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
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Journal 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
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Gaussian integral by Taylor series and applications
REMAT, 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
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Smooth Universal Taylor Series
Monatshefte 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
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Open 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
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Taylor Series Based Numerical Integration Method
Open 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
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Model of the telegraph line and its numerical solution
Open 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
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Newton series expansion of bosonic operator functions
SciPost 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
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A novel computational method for neutrosophic uncertainty related quadratic fractional programming problems [PDF]
Neutrosophic Sets and Systems, 2023 This study introduces a novel method for addressing the pentagonal quadratic fractional programming problem (PQFPP). We employ pentagonal neutrosophic numbers for the objective function's cost, resources, and technological coefficients.
S.A. Edalatpanah +3 more
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