Study of nonlinear vibration of Euler-Bernoulli beams by using analytical approximate techniques

S Bagheri, A Nikkar, H Ghaffarzadeh - Latin American Journal of …, 2014 - SciELO Brasil
In this paper, nonlinear responses of a clamped-clamped buckled beam are investigated.
Two efficient and easy mathematical techniques called He's Variational Approach and …

Dynamic model of large amplitude vibration of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia

A Nikkar, M Saravi - Latin American Journal of Solids and …, 2014 - SciELO Brasil
In this paper, a mathematical model of large amplitude vibration of a uniform cantilever
beam arising in the structural engineering is proposed. Two efficient and easy mathematical …

Explicit solution of the large amplitude transverse vibrations of a flexible string under constant tension

R Taghipour, T Akhlaghi, A Nikkar - Latin American Journal of Solids …, 2014 - SciELO Brasil
This paper presents the analytical simulation of string with large amplitudes using the
Variational Iteration Method (VIM) and Hamiltonian Approach (HA). In order to verify the …

[PDF][PDF] A New Modified Approach for solving seven-order Sawada-Kotara equations

M Saravi, A Nikkar, M Hermann, J Vahidi… - J. Math. Comp …, 2013 - academia.edu
Abstract Herein, Reconstruction of Variational Iteration Method (RVIM) is used for computing
solutions of the seventh-order Sawada-Kotera equation (sSK) and a Lax's seventh order …

[PDF][PDF] Promising technique for analytic treatment of nonlinear fifth-order equations

M Saravi, A Nikkar - World Journal of Modelling and Simulation, 2014 - academia.edu
In this paper, a new technique called variational iteration method-II (VIM-II) is applied to find
the analytical approximate solution of nonlinear fifth-order KDV equations. This method is …

An efficient iterative method for solving the governing equation of water infiltration problems in unsaturated soils

MH Hashemi, A Nikkar - Geomechanics and Geoengineering, 2015 - Taylor & Francis
One of the significant problems in geo-environmental and geotechnical engineering is the
unsaturated flow of soil in unsaturated soils. The model of this phenomenon in porous media …

Assesment of New Analytical Method for Solving the Foam Drainage Equation

A Nikkar - Chinese Journal of Mathematics, 2014 - Wiley Online Library
The drainage of liquid foams involves the interplay of gravity, surface tension, and viscous
forces. Foaming occurs in many distillation and absorption processes. In this study, a new …

[PDF][PDF] An efficient technique in finding the exact solutions for Cauchy problems

M Mighani, S Saeedi - Annals of the Faculty of Engineering Hunedoara, 2013 - Citeseer
Nonlinear phenomena play a crucial role in applied mathematics and engineering. In this
paper, the Reconstruction of Variational Iteration Method (RVIM) is used to solve the Cauchy …

[PDF][PDF] An efficient iterative method for solving Zakharov-Kuznetsov Equation

H Latifizadeh - Citeseer
In this paper, we apply new modified of Variational Iteration Method (VIM-II) which is a kind
of analytical approximate method then, use it to solve Zakharov-Kuznetsov (ZK) equation …

[PDF][PDF] An Efficient Technique in Finding the Exact Solutions for Cauchy Problems

H Latifizadeh - Citeseer
In this paper, the Reconstruction of Variational Iteration Method (RVIM) is used to solve the
Cauchy problem. The new applied algorithm is a powerful and efficient technique in finding …