Analytical Solutions of Strongly Non-linear Problems by the Iteration Perturbation Method
A. M. El-Naggar
Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt.
G. M. Ismail *
Department of Mathematics, Faculty of Science, Sohag University, Sohag, 82524, Egypt.
*Author to whom correspondence should be addressed.
Abstract
This paper applies modified He's iteration perturbation method to study periodic solutions of strongly nonlinear oscillators. Some examples are given to illustrate the effectiveness and convenience of the method. The results are compared with the numerical solution and the comparison showed a proper accuracy of this method.
Keywords: He's iteration perturbation method, periodic solutions, strongly non-linear oscillators.