Approximate instantneous current in RLC circuit

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.

A new modified stochastic linearization technique to analyze structures with nonlinear fluid viscous dampers

“…In general, several attempts have been made to solve nonlinear differential equations using different methods such as mixed quadrature rules, mixed anti-Newtonian–Gaussian rules, and hybrid block approach (e.g., Dash and Jena, 2015; Gebremedhin and Jena, 2019; Jena and Dash, 2015a, 2015b; Jena and Singh, 2015; Jena and Mishra, 2015; Jena et al, 2016; Jena et al, 2017; Jena and Mohanty,2021; Jena et al, 2020a, 2020b, 2020c; Jena and Nayak, 2020; Jena and Gebremedhin, 2020; Jena and Gebremedhin, 2021; Mohanty et al, 2021). However, these methods are generally very time consuming and therefore may not be suitable for practical applications.…”