Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]
, 2010 The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
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Multiple Solutions of Problems in Fluid Mechanics by Predictor Optimal Homotopy Asymptotic Method
Advances in Mechanical Engineering, 2014 A new algorithm based on the standard optimal homotopy asymptotic method, namely, the predictor optimal homotopy asymptotic method (POHAM), is proposed to predict the multiplicity of the solutions of nonlinear differential equations with boundary ...
A. K. Alomari +2 more
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Comparative Study of Plane Poiseuille Flow of Non-isothermal Couple Stress Fluid of Reynold Viscosity Model using Optimal Homotopy Asymptotic Method and New Iterative Method [PDF]
Journal of Applied and Computational Mechanics, 2021 In this paper, we have explored the steady Poiseuille flow of couple stress fluid between two parallel plates under the influence of non-isothermal effects of Reynold viscosity model, using Optimal Homotopy Asymptotic Method (OHAM) and New Iterative ...
Alamgeer Khan +4 more
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International Journal of Mathematics and Mathematical Sciences, 2014 Two reliable techniques, Haar wavelet method and optimal homotopy asymptotic method (OHAM), are presented. Haar wavelet method is an efficient numerical method for the numerical solution of arbitrary order partial differential equations like Burgers ...
A. K. Gupta, S. Saha Ray
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Solutions of nonlinear real world problems by a new analytical technique
Heliyon, 2018 Here a new analytical scheme is presented to solve nonlinear boundary value problems (BVPs) of higher order occurring in nonlinear phenomena. This method is called second alternative of Optimal Homotopy Asymptotic Method.
Liaqat Ali +4 more
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Solution of the Jeffery–Hamel flow problem by optimal homotopy asymptotic method
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehdi Esmaeilpour, Davood Domiri Ganji
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The optimal homotopy asymptotic method with application to modified Kawahara equation [PDF]
Journal of the Association of Arab Universities for Basic and Applied Sciences, 2015 Abstract In this paper the optimal homotopy asymptotic method (OHAM) is introduced for obtaining the approximate solution of modified Kawahara equations. The OHAM results are compared with Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM) and Exact solutions.
Ullah, H. +4 more
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MATEC Web of Conferences, 2014 This paper presents comparison between optimal homotopy asymptotic method and homotopy perturbation method for the solution of two-dimensional steady flow of an incompressible Maxwell fluid over a transpiration channel within a porous medium due to a ...
Roslan R. +3 more
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Comparison of optimal homotopy asymptotic method and homotopy perturbation method for strongly non-linear equation [PDF]
Journal of the Association of Arab Universities for Basic and Applied Sciences, 2014 AbstractIn this paper, we employ an approximate analytical method, namely the optimal homotopy asymptotic method (OHAM), to investigate a thin film flow of a third grade fluid down an inclined plane and provided accurate solution unlike other erroneous results available in the literature.
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Complexiton solutions for complex KdV equation by optimal Homotopy Asymptotic Method
Filomat, 2019 In this article an innovative technique named as Optimal Homotopy Asymptotic Method has been explored to treat system of KdV equations computed from complex KdV equation. By developing special form of initial value problems to complex KdV equation, three different types of semi analytic complextion solutions fromcomplexKdVequation have been
Zuhra, Samina +3 more
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