Results 1 to 10 of about 2,019,730 (284)
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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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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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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Taylor series expansion in discrete Clifford analysis [PDF]
, 2013 Discrete Clifford analysis is a discrete higher-dimensional function theory which corresponds simultaneously to a refinement of discrete harmonic analysis and to a discrete counterpart of Euclidean Clifford analysis.
De Ridder, Hilde +2 more
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Taylor series in Hermitean Clifford analysis [PDF]
, 2011 In this paper, we consider the Taylor decomposition for h-monogenic functions in Hermitean Clifford analysis. The latter is to be considered as a refinement of the classical orthogonal function theory, in which the structure group underlying the ...
Eelbode, David, He, Fu Li
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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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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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Gaps in Taylor series of algebraic functions [PDF]
, 2014 Let $f$ be a rational function on an algebraic curve over the complex numbers. For a point $p$ and local parameter $x$ we can consider the Taylor series for $f$ in the variable $x$.
Dutter, Seth
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Dual Taylor Series, Spline Based Function and Integral Approximation and Applications
Mathematical 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
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Distribution of zeroes of Rademacher Taylor series [PDF]
, 2015 We find the asymptotics of the counting function of zeroes of random entire functions represented by Rademacher Taylor series. We also give the asymptotics of the weighted counting function, which takes into account the arguments of zeroes. These results
Nazarov, Fedor +2 more
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