Results 101 to 110 of about 4,624 (137)
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The Optimal Homotopy Asymptotic Method for solving Blasius equation
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marinca, Vasile, Herişanu, Nicolae
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Communications in Nonlinear Science and Numerical Simulation, 2012
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Ghoreishi, M. +3 more
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Ghoreishi, M. +3 more
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Computers & Fluids, 2014
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Gupta, A. K., Saha Ray, S.
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Gupta, A. K., Saha Ray, S.
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2020
Summary: In this paper, optimal homotopy asymptotic method (OHAM) and multistage optimal homotopy asymptotic (MOHAM) method are applied to find an approximate solution to Abel's integral equation, that is in fact a weakly singular Volterra integral equation. To illustrate these approaches one example is presented. The results confirm the efficiency and
Biazar, Jafar, Montazeri, Roya
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Summary: In this paper, optimal homotopy asymptotic method (OHAM) and multistage optimal homotopy asymptotic (MOHAM) method are applied to find an approximate solution to Abel's integral equation, that is in fact a weakly singular Volterra integral equation. To illustrate these approaches one example is presented. The results confirm the efficiency and
Biazar, Jafar, Montazeri, Roya
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Optimal Homotopy Asymptotic Method
2015The notion of homotopy is an important part of topology and thus of differential geometry. The homotopy continuation method or shortly speaking homotopy was known as early as in the 1930s. Thus, in 1892, Lyapunov [1] introduced the so-called “artificial small parameters method” considering a linear differential equation with variable coefficients in ...
Vasile Marinca, Nicolae Herisanu
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Mathematical Methods in the Applied Sciences, 2011
Summary: This paper presents a general framework for solving an \(n\)th-order integro-differential equation using homotopy analysis method (HAM) and optimal homotopy asymptotic method (OHAM). OHAM is parameter free and can provide better accuracy over the HAM at the same order of approximation.
Ghoreishi, M. +2 more
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Summary: This paper presents a general framework for solving an \(n\)th-order integro-differential equation using homotopy analysis method (HAM) and optimal homotopy asymptotic method (OHAM). OHAM is parameter free and can provide better accuracy over the HAM at the same order of approximation.
Ghoreishi, M. +2 more
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Heat transfer from hollow cylinder using optimal homotopy asymptotic method
Heat Transfer—Asian Research, 2012AbstractOptimal homotopy asymptotic method (OHAM) is employed to investigate steady‐state heat conduction with temperature dependent thermal conductivity and uniform heat generation in a hollow cylinder. Analytical models are developed for dimensionless temperature distribution and heat transfer for two cases using mixed boundary conditions (Dirichlet,
A. Shahzad, W.A. Khan, A.K. Hussain
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The Third Alternative of the Optimal Homotopy Asymptotic Method
2015In this chapter, we consider m = 2 into Eq. 2.29 such that we obtain the second-order approximate solution in the form $$ \overline{u}\left(x,{C}_i\right)={u}_0(x)+{u}_1\left(x,{C}_i\right)+{u}_2\left(x,{C}_i\right) $$ where the terms u0, u1 and u2 are given by the linear differential equations 2.19, 2.20, 2.23, 2.25 and 2.26 respectively or ...
Vasile Marinca, Nicolae Herisanu
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AIP Conference Proceedings, 2014
The aim of this work is to present the optimal homotopy asymptotic method (OHAM) and homotopy perturbation method (HPM) for solving Fredholm-Hammerstein integral equations. Several examples are discussed to show the ability of the methods. The results indicated that the methods are very effective and simple.
Mohammad Almousa, Ahmad Izani Ismail
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The aim of this work is to present the optimal homotopy asymptotic method (OHAM) and homotopy perturbation method (HPM) for solving Fredholm-Hammerstein integral equations. Several examples are discussed to show the ability of the methods. The results indicated that the methods are very effective and simple.
Mohammad Almousa, Ahmad Izani Ismail
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Optimal Homotopy Asymptotic Method for Solving a Nonlinear Problem in Elasticity
2012 14th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2012In this paper a homotopy approach, called the optimal homotopy asymptotic method (OHAM) is presented as a new and powerful technique for analytical treatment of a nonlinear problem related to the stress and deformation state of a thin elastic plate. This technique combines the features of the homotopy concept with an efficient computational algorithm ...
R.D. Ene +3 more
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