Abstract:
A generalized equation is constructed for a class of classical oscillators with strong anharmonicity
which are not exactly solvable. The 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 provides the
approximate analytical solution of the generalized equation in a simple way. The solution from this simple
method not only shows excellent agreement with the numerical results but is also found to be of better
accuracy in comparison to the solutions obtained from other established approximation methods whenever
compared for physically relevant special cases.
