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Article

Taylor Matrix Solution of the Mathematical Model of the RLC Circuits

Faculty of Mechanical Engineering, Celal Bayar University, 45140, Muradiye, Manisa, Turkey
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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

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

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