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Taylor Series Based Numerical Integration Method [PDF]
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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Solving linear and nonlinear problems using Taylor series method
Open Computer ScienceThe article deals with the solution of technical initial value problems. To solve such problems, an analytical or numerical approach is possible. The analytical approach can provide an accurate result; however, it is not available for all problems and it
Veigend Petr +2 more
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A New Taylor Series based Numerical Method: Simple, Reliable, and Promising [PDF]
Journal of Applied and Computational Mechanics, 2023 Taylor series method is a simple analytical method, which is accessible to all non-mathematician, has slow convergence. This paper develops a new Taylor series based numerical method to overcome the shortcoming of the Taylor series while maintaining its ...
Ji-Huan He +4 more
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Hybrid solution method for ultra-wideband positioning in coal mines
Gong-kuang zidonghua, 2021 Ultra-wideband positioning is based on the marked point distance measured by the base station and a set of non-linear positioning equations to obtain the precise device position by applying Taylor series expansion algorithm, Chan algorithm or least ...
CHEN Meirong +3 more
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Taylor collocation method for approximate solutions of q-difference equations [PDF]
Mathematics and Computational Sciences, 2022 This manuscript suggests an efficient scheme to find an approach for a class of differential equations arsing in the quantum calculus. The present scheme considers the solution in the form of a truncated Taylor series near zero with unknown coefficients.
H Deilami Azodi
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The Development and Application of the RCW Method for the Solution of the Blasius Problem [PDF]
Journal of Applied and Computational Mechanics, 2020 In this research, a numerical algorithm is employed to investigate the classical Blasius equation which is the governing equation of boundary layer problem. The base of this algorithm is on the development of RCW (Rahmanzadeh-Cai-White) method.
Mostafa Rahmanzadeh +2 more
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B-series analysis of iterated Taylor methods [PDF]
BIT Numerical Mathematics, 2011 The authors construct stochastic B-series and corresponding growth functions for stochastic implicit Taylor methods that use an iterative scheme for solving stochastic differential equations (SDEs) numerically. They give convergence results based on the order of the underlying Taylor method, the choice of the iteration method, the predictor, and the ...
Debrabant, Kristian, Kværnø, Anne
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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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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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NON-TAYLOR SERIES BASED POSITIONING METHOD FOR LOCATION BASED SERVICES
Journal of ICT, 2008 Location Based Services (LBS) has gained increasing popularity in major cities. Due to blocking from man-made structures, the existing Global Positioning System (GPS) could not satisfy LBS applications, especially in street canyon and indoor surroundings.
Tan Kim Geok +2 more
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