Taylor Matrix Solution of the Mathematical Model of the RLC Circuits

Bahşı, M. Mustafa; Çevik, Mehmet

doi:10.3390/mca18030467

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Article

1 December 2013

9 Pages

Taylor Matrix Solution of the Mathematical Model of the RLC Circuits

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

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Math. Comput. Appl.2013, 18(3), 467-475;https://doi.org/10.3390/mca18030467

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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

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