Preprint Review Version 1 This version is not peer-reviewed

Mathematical Modelling of  RLC Circuit  Through Mixed Quadrature Rule

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

How to cite: jena, S.; Nayak, D. Mathematical Modelling of  RLC Circuit  Through Mixed Quadrature Rule. Preprints 2018, 2018090321 (doi: 10.20944/preprints201809.0321.v1). jena, S.; Nayak, D. Mathematical Modelling of  RLC Circuit  Through Mixed Quadrature Rule. Preprints 2018, 2018090321 (doi: 10.20944/preprints201809.0321.v1).

Abstract

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.

Subject Areas

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

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