The comparison of homotopy perturbation method with finite difference method for determination of maximum beam deflection

M Saravi, M Hermann, HE Khah - Journal of Theoretical and Applied …, 2013 - Springer
This paper deals with the determination of maximum beam deflection using homotopy
perturbation method (HPM) and finite difference method (FDM). By providing some …

Analytical study of nonlinear oscillatory systems using the Hamiltonian approach technique

M Hermann, M Saravi, H Ebrahimi Khah - Journal of Theoretical and …, 2014 - Springer
In this article, we investigate and apply Hamiltonian approach method as one of the
analytical approximate techniques, for studying the strongly nonlinear dynamical systems …

[PDF][PDF] Variational Iteration Method (VIM) and Parameter Perturbation Method (PPM) for the Solution of nonlinear differential equation of beam elastic deformation

A Roshan, M Ahmadi… - Southeast Asian Bulletin of …, 2022 - researchgate.net
In this paper, we apply two approximate analytical methods called parameter perturbation
method (PPM) and variational iteration method (VIM) to solve the equation of beam …

An improved analytical technique for a non-linear conservative system with inertia and static non-linearity

MHU Molla, MD Haque, MS Alam - Journal of Interdisciplinary …, 2022 - Taylor & Francis
In this paper, an improved energy balance method has been presented to obtain an
analytical approximate solution to investigate a conservative non-linear oscillator having …