Delay differential equations (denoted as DDE) have a wide range of application in science
and engineering. They arise when the rate of change of a time-dependent process in its …

This paper deals with the study of magneto-hydrodynamic MHD squeeze flow of an
electrically conducting fluid between two infinite, parallel disks. The lower disk is stationary …

In this research, an integro-differential equation which describes the charged particle motion
for certain configurations of oscillating magnetic fields is considered. The homotopy …

In this paper, a new homotopy perturbation method (NHPM) is introduced for obtaining
solutions of systems of non-linear partial differential equations. Theoretical considerations …

The homotopy perturbation method is used to solve the Duffing-harmonic oscillator. Only
one iteration leads to high accuracy of the approximate solution, which is valid for the whole …

The settling behavior of solid particles is of fundamental importance in natural and artificial
applications. In current study, the unsteady motion of a spherical particle falling in a …

For more complex nonlinear systems, where the amplitude of excitation can vary in time or
where time-dependent external disturbances appear, an analysis based on the frequency …

The choice of frequency in trigonometrically fitted methods is a fundamental question,
especially if long-term prediction is considered. For linear oscillators, the frequency of the …

The productivity during the machining of thin-floor components is limited due to unstable
vibrations, which lead to poor surface quality and part rejection at the last stage of the …

A modified He's homotopy perturbation method (HHPM) is used to calculate the periodic
solutions of a conservative nonlinear oscillator for which the elastic force term is proportional …