A modified numerical scheme and convergence analysis for fractional model of Lienard’s equation

摘要

The key purpose of the present work is to constitute a numerical algorithm based on fractional homotopy analysis transform method to study the fractional model of Lienard’s equations. The Lienard’s equation describes the oscillating circuits. The suggested scheme is a merger of homotopy analysis technique, classical Laplace transform and homotopy polynomials. The uniqueness and convergence analysis of the solution are also discussed. The numerical and graphical results elucidate that the suggested approach is very straightforward and accurate.