The performance of the grid-based Numerov procedure for the prediction of fundamental as
well as the first vibrational overtone has been systematically probed for harmonic and …

An analytical approach is developed for nonlinear free vibration of a conservative, two-
degree-of-freedom mass–spring system having linear and nonlinear stiffnesses. The main …

An analytical approach is developed for areas of nonlinear science such as the nonlinear
free vibration of a conservative, two-degree-of-freedom mass–spring system having linear …

The dynamics of a finite extensibility nonlinear oscillator (FENO) is studied analytically by
means of two different approaches: a generalized decomposition method (GDM) and a …

We develop a modified semi-classical approach to the approximate solution of
Schrödinger's equation for certain nonlinear quantum oscillations problems. In our …

We perform a study of various anharmonic potentials using a recently developed method.
We calculate both the wave functions and the energy eigenvalues for the ground and first …

An intuitive approach is used to propose the most general form of the solution of a classical
quartic anharmonic oscillator. The proposed (assumed) solution is a direct outcome of …

Anharmonic oscillators with the sextic and decatic potentials are studied employing the
refinable interpolating scale functions. This method yields highly accurate values of both …

Classical and quantum oscillator of generalized anharmonicity is solved analytically up to
the linear power of ε by using the multiple-scale perturbation method. The commutation …

This paper deals with the partial solution of the energy-eigenvalue problem for one-
dimensional Schr\" odinger operators of the form $ H_N= X_0^ 2+ V_N $, where $ V_N …