Mathematical Modelling of  RLC Circuit  Through Mixed Quadrature Rule

Saumya jena; Damayanti Nayak

doi:10.20944/preprints201809.0321.v1

Preprint Review Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 17 September 2018 / Approved: 17 September 2018 / Online: 17 September 2018 (15:13:41 CEST)

In this study, a mixed rule of degree of precision nine has been developed and implemented in the field of electrical sciences to obtain the instantaneous current in the RLC- circuit for particular value .The linearity has been performed with the Volterra’s integral equation of second kind with particular kernel . Then the definite integral has been evaluated through the mixed quadrature to obtain the numerical result which is very effective. A polynomial has been used to evaluate Volterra’s integral equation in the place of unknown functions. The accuracy of the proposed method has been tested taking different electromotive force in the circuit and absolute error has been estimated.

Kirchhoff’s voltage law, Volterra integral equation, Mixed quadrature, Initial value problem, Error bound, Maclaurin's theorem

Computer Science and Mathematics, Mathematics

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Mathematical Modelling of RLC Circuit Through Mixed Quadrature Rule

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