  A generalized equation is constructed for a class of classical oscillators
with strong anharmonicity which are not exactly solvable. Aboodh transform
based homotopy perturbation method (ATHPM) is applied to get the approximate
analytical solution for the generalized equation and hence some physically
relevant anharmonic oscillators are studied as the special cases of this
solution. ATHPM is very simple and hence provides the approximate analytical
solution of the generalized equation without any mathematical rigor. The
solution from this simple method not only shows excellent agreement with the
exact numerical results but also found to be better accuracy in comparison to
the solutions obtained from other established approximation methods whenever
compared for physically relevant special cases.
