A New Approach of Mickens’ Extended Iteration Method for Solving Some Nonlinear Jerk Equations
B. M. Ikramul Haque *
Department of Mathematics, Khulna University of Engineering &Technology, khulna-9203, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
A new approach of the Mickens’ extended iteration method has been presented to obtain approximate analytic solutions of some nonlinear jerk equations. There has been shown that the partial derivatives of integral functions are valid for modified extended iteration method in each step of iteration. Also the solutions give more accurate result than other existing methods and show a good agreement with its exact solution.
Keywords: Jerk equations, nonlinear oscillator, iteration method, extended iteration method.