Results 21 to 30 of about 839 (148)

Solution of the Davey–Stewardson equation using homotopuy analysis method

Nonlinear Analysis, 2010
In this paper, the homotopy analysis method (HAM) proposed by Liao is adopted for solving Davey–Stewartson (DS) equations which arise as higher dimensional generalizations of the nonlinear Schrödinger (NLS) equation. The results obtained by HAM have been
H. Jafari, M. Alipour
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Concentration Flux Dependent on Radiative MHD Casson Flow with Arrhenius Activation Energy: Homotopy Analysis Method (HAM) with an Evolutionary Algorithm

International Journal of Heat and Technology, 2020
Heat transfer analysis in nanofluids is an active research field due to its extraordinary physical and chemical properties. In the current study, the focus lies on the effects of Stefan blowing when a non-Newtonian Casson base fluid flows over a surface which stretches linearly. A uniform transverse magnetic field is employed.
Naganthran, Kohilavani, Ahmad Zeeshan, Ahmad Zeeshan, Md. Basir, Md. Faisal, Shehzad, Nasir, Nazar, Roslinda, Choudhary, Rakesh, Balaji, Sankarasubramanian   +6 more
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The Application of the Homotopy Analysis Method and the Homotopy Perturbation Method to the Davey-Stewartson Equations and Comparison between Them and Exact Solutions

Journal of Applied Mathematics, 2013
We introduce two powerful methods to solve the Davey-Stewartson equations: one is the homotopy perturbation method (HPM) and the other is the homotopy analysis method (HAM). HAM is a strong and easy to use analytic tool for nonlinear problems. Comparison
Hassan A. Zedan, W. Barakati, Nada Hamad
doaj   +1 more source

Application of the Homotopy Perturbation Method (HPM) and the Homotopy Analysis Method (HAM) to the Problem of the Thermal Explosion in a Radiation Gas with Polydisperse Fuel Spray

Journal of Applied & Computational Mathematics, 2012
The aim of this work is to apply the homotopy perturbation method and homotopy analysis method to the problem of thermal explosion in a flammable gas mixture with the addition of volatile fuel droplets. The system of equations that describes the effects of heating, evaporation, and combustion of fuel in a polydisperse spray is simplified.
Ophir Nave, Yaron Lehavi, Vladimir Gol
openaire   +1 more source

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

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   +1 more source

An approximate solution for a generalized Hirota-Satsom coupled (Kdv) equation [PDF]

Computational Ecology and Software, 2017
In this paper the Homotopy Analysis Method (HAM), is applied to find the approximate solution of Hirota-Satsuma coupled (KdV) equations, which don't need a small parameter for solution.
H.A. Wahab, Rafi Ullah, Saira Bhatti, et al.   +2 more
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Hybridization of Genetic Algorithm with Homotopy Analysis Method for Solving Fractional Partial Differential Equations [PDF]

Eurasian Journal of Science and Engineering, 2018
In this work, the Homotopy Analysis Method (HAM) is applied to solve fractional Partial Differential Equations (PDEs). The solution of HAM has improved the results by using Genetic Algorithm (GA).
Ahmed Entesar, Omar Saber, Waleed Al-Hayani   +2 more
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Approximate Analytic Solution for the KdV and Burger Equations with the Homotopy Analysis Method

Journal of Applied Mathematics, 2012
The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of the Korteweg-de Vries (KdV) and Burgers equations. The homotopy analysis method (HAM) is an analytic technique which provides us with a new way to obtain series ...
Mojtaba Nazari, Faisal Salah, Zainal Abdul Aziz, Merbakhsh Nilashi   +3 more
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Approximate Solution of Intuitionistic Fuzzy Differential Equations with the Linear Differential Operator by the Homotopy Analysis Method

Advances in Fuzzy Systems, 2021
In this work, the purpose is to discuss the homotopy analysis method (HAM) for the use of intuitionistic fuzzy differential equations with the linear differential operator.
S. Melliani, Z. Belhallaj, M. Elomari, L. S. Chadli   +3 more
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On the Bivariate Spectral Homotopy Analysis Method Approach for Solving Nonlinear Evolution Partial Differential Equations

Abstract and Applied Analysis, 2014
This paper presents a new application of the homotopy analysis method (HAM) for solving evolution equations described in terms of nonlinear partial differential equations (PDEs).
S. S. Motsa
doaj   +1 more source