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Taylor Series Based Numerical Integration Method

Taylor Series Based Numerical Integration Method AbstractThis 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. These problems can be transformed into the autonomous systems of ordinary differential equations for both linear and nonlinear problems. The MATLAB implementation of the method is compared with state-of-the-art MATLAB solvers. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Computer Science de Gruyter

Taylor Series Based Numerical Integration Method

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Publisher
de Gruyter
Copyright
© 2021 Petr Veigend et al., published by De Gruyter
eISSN
2299-1093
DOI
10.1515/comp-2020-0163
Publisher site
See Article on Publisher Site

Abstract

AbstractThis 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. These problems can be transformed into the autonomous systems of ordinary differential equations for both linear and nonlinear problems. The MATLAB implementation of the method is compared with state-of-the-art MATLAB solvers.

Journal

Open Computer Science – de Gruyter

Published: Jan 1, 2021

Keywords: ordinary differential equations; initial value problems; autonomous systems; Taylor series; MTSM; MATLAB

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