Results 1 to 10 of about 29,425,986 (162)

An approximate analytical solution of the Allen-Cahn equation using homotopy perturbation method and homotopy analysis method [PDF]

Heliyon, 2019
In this paper, an approximate analytical solution of the bistable Allen–Cahn equation is given. The Allen–Cahn equation is a mathematical model to study the phase separation process in binary alloys and emerged as a convection-diffusion equation in fluid
Safdar Hussain, Abdullah Shah, Sana Ayub, Asad Ullah   +3 more
doaj   +2 more sources

Revisiting Fisher-KPP model to interpret the spatial spreading of invasive cell population in biology

Heliyon, 2022
In this paper, the homotopy analysis method, a powerful analytical technique, is applied to obtain analytical solutions to the Fisher-KPP equation in studying the spatial spreading of invasive species in ecology and to extract the nature of the spatial ...
Gour Chandra Paul, Tauhida, Dipankar Kumar   +2 more
doaj   +1 more source

Variational homotopy perturbation method for solving systems of homogeneous linear and nonlinear partial differential equations

Desimal, 2021
The variational homotopy perturbation method is developed by combining variational iteration method and homotopy perturbation method. Variational iteration method has an efficient process in solving a wide variety of equations and systems of equations ...
Atika Faradilla, Aang Nuryaman, Asmiati Asmiati, Dewi Rakhmatia Nur   +3 more
doaj   +1 more source

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

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

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

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

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

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

The homotopy analysis method for q-difference equations

Ain Shams Engineering Journal, 2018
The q-difference equations are kind of important problems in q-calculus and applied mathematics. In this paper, the homotopy analysis method is extended to find approximate solution for some of q-differential equations.
Mourad S. Semary, Hany N. Hassan
doaj   +1 more source