Results 1 to 10 of about 2,716 (179)

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   +7 more sources

Electric-Current-Assisted Nucleation of Zero-Field Hopfion Rings. [PDF]

Adv Mater
This work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Chen X, Song D, Rybakov FN, Kiselev NS, Li L, Shi W, Wu R, Fu X, Eriksson O, Blügel S, Dunin-Borkowski RE, Du H, Zheng F.   +12 more
europepmc   +2 more sources

Homotopy Analysis Method for an Epidemic Model

Walailak Journal of Science and Technology, 2013
In this paper, Homotopy analysis method (HAM) is employed to solve a system of nonlinear equations. The model is the problem of the spread of a non-fatal disease in a population with a constant size, over the period of the epidemic. Mathematical modeling
Jafar BIAZAR, Mohammad HOSAMI
doaj   +2 more sources

The Application of the Homotopy Perturbation Method and the Homotopy Analysis Method to the Generalized Zakharov Equations [PDF]

Abstract and Applied Analysis, 2012
We introduce two powerful methods to solve the generalized Zakharov equations; one is the homotopy perturbation method and the other is the homotopy analysis method.
Hassan A. Zedan, Eman El Adrous
doaj   +3 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

The homotopy analysis method and the Liénard equation [PDF]

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

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