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Giuseppina Settanni, Pierluigi Amodio
exaly +3 more sources
ON THE THIRD ORDER SOLUTION OF KdV EQUATION BY USING HOMOTOPY PERTURBATION METHOD
In this research we discussed about the solution of the KdV equation using Homotopy Perturbation method. The KdV equation that describing water wave equation solved by using the mixing method between Homotopy and Perturbation method.
Mashuri Mashuri +2 more
doaj +1 more source
A simple second order thermodynamic perturbation theory for associating fluids
An approximation within Wertheim's second order perturbation theory is proposed which allows for the development of a general solution for pure component fluids with an arbitrary number and functionality of association sites.
B. D. Marshall
doaj +1 more source
SECOND-ORDER SOLUTIONS OF COSMOLOGICAL PERTURBATION IN THE MATTER-DOMINATED ERA [PDF]
We present the growing mode solutions of cosmological perturbations to the second order in the matter dominated era. We also present several gauge-invariant combinations of perturbation variables to the second order in most general fluid context. Based on the solutions we study the Newtonian correspondence of relativistic perturbations to the second ...
Hwang, Jai-chan +2 more
openaire +2 more sources
Stability Analysis of a Strongly Displacement Time-Delayed Duffing Oscillator Using Multiple Scales Homotopy Perturbation Method [PDF]
In the present study, some perturbation methods are applied to Duffing equations having a displacement time-delayed variable to study the stability of such systems.
Yusry El-Dib
doaj +1 more source
Second-order perturbation solution and analysis of nonlinear surface waves
The properties of ultrasonic nonlinear surface wave in the quasilinear region are investigated. In this work the governing equation of particle displacement potential is employed for surface wave in isotropic elastic solid with quadratic nonlinearity.
Sheng-Yang Zeng +4 more
openaire +1 more source
Homotopy perturbation method for Ozone decomposition of the second order in aqueous solutions [PDF]
Abstract In this article the problem of mass transfer of ozone of the second order from a gaseous phase into an aqueous phase has been studied. Homotopy perturbation method is employed to derive an analytical approximation to the solutions of the system of differential equations governing on the problem.
Ayati, Z., Biazar, J., Partovi, M.
openaire +1 more source
On the non-uniqueness of the solution to a boundary value problem of heat conduction with a load in the form of a fractional derivative [PDF]
The paper deals with the second boundary value problem for the loaded heat equation in the first quadrant.
M.T. Kosmakova +2 more
doaj +3 more sources
Stability Analysis of a Damped Nonlinear Wave Equation [PDF]
The current manuscript is concerned with extracting an analytical approximate periodic solution of a damped cubic nonlinear Klein-Gordon equation. The Riemann-Liouville fractional calculus is utilized to obtain an analytic approximate solution.
Yusry O. El-Dib +2 more
doaj +1 more source
In this work, we investigate and apply higher-order Hamiltonian approach (HA) as one of the novelty techniques to find out the approximate analytical solution for vibrating double-sided quintic nonlinear nano-torsional actuator.
Gamal Mohamed Ismail +3 more
doaj +1 more source

