Results 11 to 20 of about 4,171 (232)

A robust computational approach for Zakharov-Kuznetsov equations of ion-acoustic waves in a magnetized plasma via the Shehu transform

Journal of Ocean Engineering and Science, 2023
The application of the q-homotopy analysis Shehu transform method (q-HAShTM) to discover the estimated solution of fractional Zakharov-Kuznetsov equations is investigated in this study.
Parthkumar P. Sartanpara, Ramakanta Meher   +1 more
doaj   +1 more source

Homotopy Analysis Aboodh Transform Method for Nonlinear System of Partial Differential Equations

Universal Journal of Mathematics and Applications, 2018
In this paper, a combined form of homotopy analysis method with Aboodh transform method is proposed to solve nonlinear system of partial differential equations. This method is called the homotopy analysis Aboodh transform method (HAATM).
Mountassir Hamdi Cherif, Djelloul Ziane
doaj   +1 more source

Time-fractional partial differential equations: a novel technique for analytical and numerical solutions

Arab Journal of Basic and Applied Sciences, 2022
We use the q-homotopy analysis Shehu transform method in this article to obtain analytical and numerical solutions to time fractional partial differential equations.
Lokesh Kumar Yadav, Garima Agarwal, D. L. Suthar, S. D. Purohit   +3 more
doaj   +1 more source

A computational approach for fractional convection-diffusion equation via integral transforms

Ain Shams Engineering Journal, 2018
In this paper, two efficient analytic techniques namely the homotopy analysis transform method (HATM) and homotopy perturbation Sumudu transform method (HPSTM) are implemented to give a series solution of fractional convection-diffusion equation which ...
Jagdev Singh, Ram Swroop, Devendra Kumar
doaj   +1 more source

Analytical approach for solving two-dimensional laminar viscous flow between slowly expanding and contracting walls

Ain Shams Engineering Journal, 2016
In this article, an analysis has been performed to study the two dimensional viscous flow between slowly expanding and contracting walls with weak permeability.
E. Rahimi, A. Rahimifar, R. Mohammadyari, I. Rahimipetroudi, M. Rahimi-Esbo   +4 more
doaj   +1 more source

An analytical approach for the nonlinear forced vibration of clamped-clamped buckled beam [PDF]

Journal of Theoretical and Applied Vibration and Acoustics, 2017
Analytical solutions are attractive for parametric studies and consideration of the problems physics. In addition, analytical solutions can be employed as a reference framework for verification of numerical results.
Shahin Mohammadrezazadeh, Ali-Asghar Jafari, Mohammad Saeid Jafari   +2 more
doaj   +1 more source

The homotopy analysis method and the Liénard equation [PDF]

International Journal of Computer Mathematics, 2011
16 pages, 9 figures, 1 ...
Abbasbandy, Saied, Lopez, Jose-Luis, Lopez-Ruiz, Ricardo   +2 more
openaire   +2 more sources

Weakly resonant double Hopf bifurcation in coupled nonlinear systems with delayed freedback and application of homotopy analysis method

Journal of Low Frequency Noise, Vibration and Active Control, 2019
In this paper, we study the dynamical behaviors of coupled nonlinear systems with delay coupling by the multiple scales method and the homotopy analysis method.
Youhua Qian, HX Fu, JM Guo
doaj   +1 more source

Solving the convection–diffusion equation by means of the optimal q-homotopy analysis method (Oq-HAM)

Results in Physics, 2016
The main aim of this paper is to propose a new and simple algorithm namely the optimal q-homotopy analysis method (Oq-HAM), to obtain approximate analytical solutions of the convection diffusion (CD) equation.
Mohamed S. Mohamed, Yasser S. Hamed
doaj   +1 more source

Singularly perturbed homotopy analysis method

Applied Mathematical Modelling, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nave, Ophir, Hareli, Shlomo, Gol'dshtein, Vladimir   +2 more
openaire   +2 more sources