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A new type of Taylor series expansion [PDF]
Journal of Inequalities and Applications, 2018 We present a variant of the classical integration by parts to introduce a new type of Taylor series expansion and to present some closed forms for integrals involving Jacobi and Laguerre polynomials, which cannot be directly obtained by usual symbolic ...
Mohammad Masjed-Jamei +3 more
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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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Moving Taylor series for solving one-dimensional one-phase Stefan problem
Alexandria Engineering Journal, 2022 In this work, a modified form of Taylor series is proposed which we call the moving Taylor series. We prove theorems that formulate coefficients of the proposed series along with the formula of its time-derivatives.
A. Elsaid, S.M. Helal
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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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Optimization of the 2P fifth degree convolution kernel in the spectral domain [PDF]
Bulletin of Natural Sciences Research, 2023 The first part of the paper describes a two-parameter (2P) fifth-order interpolation kernel, r. After that, from the 2P kernel, the kernel components were created.
Savić Nataša +2 more
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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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Mathematics, 2023 In the existing literature, there are only two in-plane equilibrium equations for membrane problems; one does not take into account the contribution of deflection to in-plane equilibrium at all, and the other only partly takes it into account.
Jun-Yi Sun, Ji Wu, Xue Li, Xiao-Ting He
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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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