Results 11 to 20 of about 1,147 (198)
The homotopy analysis Rangaig transform method for nonlinear partial differential equations
Journal of Applied Mathematics and Computational Mechanics, 2022 The idea suggested in this article is to combine the Rangaig transform with the homotopy analysis method in order to facilitate the solution of nonlinear partial differentia equations.
Djelloul Ziane, Mountassir Hamdi Cherif
doaj +3 more sources
Fractional modelling for BBM-Burger equation by using new homotopy analysis transform method
Journal of the Association of Arab Universities for Basic and Applied Sciences, 2014 AbstractThe purpose of this study is to introduce a new analytical method namely, fractional homotopy analysis transform method (FHATM) for series solution of the time fractional BBM-Burger equation. The homotopy analysis transform method is an innovative adjustment in Laplace transform algorithm (LTA) for nonlinear fractional partial differential ...
Sunil Kumar, Devendra Kumar
exaly +3 more sources
AxiomsIn this study, we employed the homotopy analysis transform method (HATM) to derive an iterative scheme to numerically solve a singular second-order hyperbolic pseudo-differential equation.
Said Mesloub, Hassan Eltayeb Gadain
doaj +3 more sources
Journal of Function Spaces, 2022 This paper has applied a hybrid method called the homotopy perturbation transformation technique to solve fractional-order Newell-Whitehead-Segel equations.
Naveed Iqbal +3 more
doaj +4 more sources
New homotopy analysis transform algorithm to solve volterra integral equation
Ain Shams Engineering Journal, 2014 The main aim of the present work is to propose a new and simple algorithm for Volterra integral equation arising in demography, the study of viscoelastic materials, and in insurance mathematics through the renewal equation by using homotopy analysis ...
Sunil Kumar +3 more
doaj +2 more sources
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 +1 more
doaj +2 more sources
Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations
International Journal of Analysis and Applications, 2017 In this paper, a combined form of natural transform with homotopy analysis method is proposed to solve nonlinear fractional partial differential equations. This method is called the fractional homotopy analysis natural transform method (FHANTM).
D. Ziane, M. Hamdi Cherif
doaj +6 more sources
Numerical solution of time- and space-fractional coupled Burgers’ equations via homotopy algorithm
Alexandria Engineering Journal, 2016 In this paper, we constitute a homotopy algorithm basically extension of homotopy analysis method with Laplace transform, namely q-homotopy analysis transform method to solve time- and space-fractional coupled Burgers’ equations.
Jagdev Singh, Devendra Kumar, Ram Swroop
doaj +2 more sources
Journal of Mathematics, 2023 The Ginzburg–Landau (GL) equation and the Ginzburg–Landau couple system are important models in the study of superconductivity and superfluidity. This study describes the q-homotopy analysis transform method (q-HATM) as a powerful technique for solving nonlinear problems, which has been successfully used with a set of mathematical models in physics ...
Khalid K. Ali +2 more
openaire +3 more sources
A modified homotopy analysis method for solution of fractional wave equations
Advances in Mechanical Engineering, 2015 The aim of this article is to introduce a modified analytical approach to obtain quick and accurate solution of wave-like fractional physical models.
Xiang-Bao Yin +2 more
doaj +2 more sources