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Semi-Analytic Solution and Stability of a Space Truss Using a High-Order Taylor Series Method [PDF]
Materials (Basel), 2015 This study is to analyse the dynamical instability (or the buckling) of a steel space truss using the accurate solutions obtained by the high-order Taylor series method.
Shon S, Lee S, Ha J, Cho C.
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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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Modified Taylor series method for solving nonlinear differential equations with mixed boundary conditions defined on finite intervals. [PDF]
Springerplus, 2014 In this article, we propose the application of a modified Taylor series method (MTSM) for the approximation of nonlinear problems described on finite intervals.
Vazquez-Leal H +8 more
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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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Taylor series for the Adomian decomposition method [PDF]
International Journal of Computer Mathematics, 2011 9 ...
Ekaterina Kutafina
exaly +3 more sources
Advances in Mathematical Physics, 2015 We propose an efficient analytic method for solving nonlinear differential equations of fractional order. The fractional derivative is defined in the sense of modified Riemann-Liouville derivative.
Süleyman Öğrekçi
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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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Projected explicit and implicit Taylor series methods for DAEs [PDF]
Numerical Algorithms, 2021 AbstractThe recently developed new algorithm for computing consistent initial values and Taylor coefficients for DAEs using projector-based constrained optimization opens new possibilities to apply Taylor series integration methods. In this paper, we show how corresponding projected explicit and implicit Taylor series methods can be adapted to DAEs of ...
Diana Estévez Schwarz, René Lamour
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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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