Numerical solution of cubic free undamped Duffing oscillator equation using continuous implicit hybrid method

Abstract

In this paper, we investigate the solution of the cubic free undamped Duffing oscillator equation based on the implicit hybrid method.  We investigate the consistency, zero stable, convergence, order, error constant, and region of absolute stability of the proposed method.  In addition, we study the zero stability, the order, and the error constant of the block method which is generated from the proposed method.  Numerical results are presented to show the efficiency of the proposed method.