Modified Solution of the Nonlinear Singular Oscillator by Iteration Procedure

Abstract

An Iteration method for solving nonlinear oscillatory problems was introduced by R. E. Mickens. Mickens provided a general basis for this method as they are currently used in the calculation of approximations to the periodic solutions of various nonlinear oscillatory differential equations successfully. Latter the method of Iteration has been improved and justified by C. W. Lim, B. S. Wu and R. E. Mickens. It is a widely used technique for handling strong as well as weak nonlinear differential systems with periodic solutions. In this thesis, we have used the truncated Fourier series in each iterative step. The approximate frequencies obtained by the technique shows a good agreement with the exact frequency. Also the obtained solutions are much more accurate than other existing results.