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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

Taylor Matrix Solution of the Mathematical Model of the RLC Circuits

by
M. Mustafa Bahşı
* and
Mehmet Çevik
*
Faculty of Mechanical Engineering, Celal Bayar University, 45140, Muradiye, Manisa, Turkey
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2013, 18(3), 467-475; https://doi.org/10.3390/mca18030467
Published: 1 December 2013
Versions Notes

Abstract

The RLC circuit is a basic building block of the more complicated electrical circuits and networks. The present study introduces a novel and simple numerical method for the solution this problem in terms of Taylor polynomials in the matrix form. Particular and general solutions of the related differential equation can be determined by this method. The method is illustrated by a numerical application and a quite good agreement is observed between the results of the present method and those of the exact method.
Keywords: Taylor Matrix Method; Electrical Circuits; Differential Equation; Mathematical Model Taylor Matrix Method; Electrical Circuits; Differential Equation; Mathematical Model

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MDPI and ACS Style

Bahşı, M.M.; Çevik, M. Taylor Matrix Solution of the Mathematical Model of the RLC Circuits. Math. Comput. Appl. 2013, 18, 467-475. https://doi.org/10.3390/mca18030467

AMA Style

Bahşı MM, Çevik M. Taylor Matrix Solution of the Mathematical Model of the RLC Circuits. Mathematical and Computational Applications. 2013; 18(3):467-475. https://doi.org/10.3390/mca18030467

Chicago/Turabian Style

Bahşı, M. Mustafa, and Mehmet Çevik. 2013. "Taylor Matrix Solution of the Mathematical Model of the RLC Circuits" Mathematical and Computational Applications 18, no. 3: 467-475. https://doi.org/10.3390/mca18030467

APA Style

Bahşı, M. M., & Çevik, M. (2013). Taylor Matrix Solution of the Mathematical Model of the RLC Circuits. Mathematical and Computational Applications, 18(3), 467-475. https://doi.org/10.3390/mca18030467

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