Results 1 to 10 of about 835 (169)

New homotopy analysis transform method for solving multidimensional fractional diffusion equations [PDF]

Arab Journal of Basic and Applied Sciences, 2020
In this paper, we introduce a new semi-analytical method called the homotopy analysis Shehu transform method (HASTM) for solving multidimensional fractional diffusion equations.
Shehu Maitama, Weidong Zhao
doaj   +3 more sources

Homotopy analysis transform method for solving Abel’s integral equations of the first kind

Ain Shams Engineering Journal, 2016
In this paper, by combined homotopy analysis method and Laplace transform method, we produce a new powerful method and named homotopy analysis transform method. By using this method, we solve first kind singular integral equations of Abel type. Also, the
Samad Noeiaghdam, Eisa Zarei, Hasan Barzegar Kelishami   +2 more
doaj   +4 more sources

Comparison of optimal homotopy analysis method and fractional homotopy analysis transform method for the dynamical analysis of fractional order optical solitons [PDF]

Advances in Mechanical Engineering, 2017
In this article, dynamical analysis of fractional order Schrödinger equation governing the optical wave propagation is reported in detail. The validity criteria for the application of the semi-analytic asymptotic methods are exploited. Comparison between
Sarmad Arshad, Abdul M Siddiqui, Ayesha Sohail, Khadija Maqbool, ZhiWu Li   +4 more
doaj   +2 more sources

A new comparative study between homotopy analysis transform method and homotopy perturbation transform method on a semi infinite domain

Mathematical and Computer Modelling, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Majid Khan, Muhammad Asif Gondal, Iqtadar Hussain   +2 more
exaly   +3 more sources

Analytical Study of Fractional Epidemic Model via Natural Transform Homotopy Analysis Method

Symmetry, 2022
In this study, we present a new general solution to a rational epidemiological mathematical model via a recent intelligent method called the natural transform homotopy analysis method (NTHAM), which combines two methods: the natural transform method (NTM) and homotopy analysis method (HAM).
Hamdy R Abdl-Rahim, Mohra Zayed, Gamal M Ismail   +2 more
exaly   +2 more sources

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   +3 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

An Analytical Approach to Solve the Fractional Benney Equation Using the q-Homotopy Analysis Transform Method

Symmetry, 2023
This paper introduces an analytical approach for solving the Benney equation using the q-homotopy analysis transform method. The Benney equation is a nonlinear partial differential equation that has applications in diverse areas of physics and engineering.
Rasool Shāh, Yousuf Alkhezi, Khaled Alhamad   +2 more
exaly   +2 more sources

Fractional analysis of Benjamin-Bona-Mahony equation across natural transform iterative method: thermal engineering implementations [PDF]

Scientific Reports
In this study, we apply the Natural Transform Iterative Method (NTIM), a relatively new and efficient analytical tool for solving fractional differential equations (FDEs).
Atia Nazneen, Nasir Ali, Syed M. Hussain, Hijaz Ahmad, Rashid Nawaz, Laiq Zada, Rida Irfan, Kamel Guedri, Abdulrazak H. Almaliki, Mustafa Bayram   +9 more
doaj   +2 more sources

Numerical computation of Klein–Gordon equations arising in quantum field theory by using homotopy analysis transform method

Alexandria Engineering Journal, 2014
In this paper, we present a reliable algorithm based on the homotopy analysis transform method (HATM) to solve the linear and nonlinear Klein–Gordon equations. The Klein–Gordon equation is the equation of motion of a quantum scalar or pseudoscalar field,
Devendra Kumar, Jagdev Singh, Sunil Kumar, Sushila   +3 more
doaj   +3 more sources