A new analytical technique for strongly nonlinear damped forced systems

Combining the general Struble’s technique and homotopy perturbation method, an analytical technique has been presented to determine approximate solutions of strongly nonlinear differential systems with severe damping effect in the presence of an external force. The method is illustrated by examples. The approximate solutions show a good coincidence with corresponding numerical solution (considered to be exact). Moreover, it provides better result than other existing solutions (derived by several analytical methods).