Multiple-parameters technique for higher accurate numerical solution of Duffing-harmonic oscillation

A higher accurate numerical technique for nonlinear Duffing-harmonic oscillation is studied. The suggested technique is named the multiple-parameters technique, and the involved parameters are evaluated from the governing equation, the initial conditions and properties of motion. The computed results for the angular frequency are compared with the exact results. In the present study, the relevant error is less than 0.07% for the five-parameters technique within a wide range of "A" from 0.01, 0.1, . . . to 100 ("A" the amplitude of motion). Many numerical results are given to prove the efficiency of the suggested technique.