Results 11 to 20 of about 2,026,688 (333)

Review of: "Taylor Series Based Domain Collocation Meshless Method for Problems with Multiple Boundary Conditions including Point Boundary Conditions" [PDF]

, 2023
Slimane Azoug
  +8 more sources

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
doaj   +1 more source

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., Konstadilaki, Ch., Nestoridis, V.   +2 more
openaire   +2 more sources

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

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
doaj   +1 more source

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, De Schepper, Hennie, Sommen, Franciscus   +2 more
core   +2 more sources

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
core   +1 more source

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, Nečasová Gabriela, Šátek Václav   +2 more
doaj   +1 more source

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
doaj   +1 more source

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

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, Wajid Laiba, Shahzad Khurrem, Safdar Rabia, Alhazmi Sharifah E., Lashin Maha M. A., Jamshed Wasim, Eid Mohamed R., Alkhatib Soliman   +8 more
doaj   +1 more source

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, Jonatas Arizilanio Silva, Eliângela Paulino Bento de Souza, Hidalyn Theodory Clemente Mattos de Souza, Antonio Diego Silva Farias, Otávio Paulino Lavor   +5 more
doaj   +1 more source