This review features a survey of some recent developments in asymptotic techniques and
new developments, which are valid not only for weakly nonlinear equations, but also for …

This book presents and extend different known methods to solve different types of strong
nonlinearities encountered by engineering systems. A better knowledge of the classical …

This paper deals with the nonlinear oscillations of a particle which moves on a rotating
parabola. An analytic approximate technique, namely optimal homotopy asymptotic method …

In this paper, the nonlinear dynamic behaviour of an electrical machine exhibiting nonlinear
vibration is investigated using a new analytical technique, namely Optimal Homotopy …

Singular perturbation problems are of common occurrence in all branches of applied
mathematics and engineering. These problems are encountered in various fields such as …

In this paper, we apply the variational iteration method using He's polynomials for finding the
analytical solution of unsteady flow of gas through a porous medium. The proposed method …

A new modification of the variational iteration method - ScienceDirect Skip to main contentSkip
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In this paper, a reliable algorithm based on an adaptation of the standard differential
transform method is presented, which is the multi-step differential transform method …

Energy balance method (EBM) is extended for high‐order nonlinear oscillators. To illustrate
the effectiveness of the method, a cubic‐quintic Duffing oscillator was chosen. The maximum …

Periodic solutions for some strongly nonlinear oscillations by He’s energy balance method -
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