Solution of Non-Linear RLC Circuit Equation Using the Homotopy Perturbation Transform Method

Abstract

In this paper, we apply the Homotopy Perturbation Transform Method (HPTM) to obtain the solution of Non-Linear RLC Circuit Equation. This method is a combination of the Laplace transform method with the homotopy perturbation method. The HPTM can
provide analytical solutions to nonlinear equations just by employing the initial conditions and the nonlinear term decomposed by using the He’s polynomials.

Keywords: Homotopy perturbation, Laplace transform, He’s polynomials, Non-linear RLC circuit equation.