Results 21 to 30 of about 33,166 (180)
Solve the Initial Value Problems of Fractional Order Using The Homotopy Analytical Method and Improve Them Using Pade' Approximations [PDF]
مجلة التربية والعلم, 2019 In this research , the initial value problems of the caputo- fractional order are solved using the homotopy analysis method. The Pade' approximation is added to the fractional order to improve this method.
Heba Mahmmood, Kais Ibraheem
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Singularly perturbed homotopy analysis method
Applied Mathematical Modelling, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nave, Ophir +2 more
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Homotopy analysis transform algorithm to solve time-fractional foam drainage equation
Nonlinear Engineering, 2016 This paper emphasizes on finding the solution for a foam drainageequation using the technique of modified homotopy analysis transform method (MHATM). MHATM is a new amalgamation of the homotopy analysis method and Laplace transform method with homotopy ...
Singh Mukesh +3 more
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Homotopy Analysis Method for an Epidemic Model
Walailak Journal of Science and Technology, 2013 In this paper, Homotopy analysis method (HAM) is employed to solve a system of nonlinear equations. The model is the problem of the spread of a non-fatal disease in a population with a constant size, over the period of the epidemic. Mathematical modeling
Jafar BIAZAR, Mohammad HOSAMI
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Halley Irrational-Homotopy Analysis Method
International Journal of Applied Mathematical Research, 2012 In this paper we investigate Halley irrational-homotopy analysis method as a new technique to find approximate solution of nonlinear equations, where complex and real roots are founded and in many cases we have two solutions. The Halley’s irrational formula developed to determine the auxiliary (arbitrary) parameter in HAM.
Amal Shalouf, Mohd Salmi Noorani
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Results in Physics, 2016 The main aim of this paper is to propose a new and simple algorithm namely the optimal q-homotopy analysis method (Oq-HAM), to obtain approximate analytical solutions of the convection diffusion (CD) equation.
Mohamed S. Mohamed, Yasser S. Hamed
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Modified Homotopy Analysis Method for Zakharov-Kuznetsov Equations
Walailak Journal of Science and Technology, 2013 In this paper, we apply Modified Homotopy Analysis Method (MHAM) to find appropriate solutions to Zakharov-Kuznetsov equations, which are of utmost importance in applied and engineering sciences.
Muhammad USMAN +5 more
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Probing Homotopy Continuation Method for Solving Nonlinear Magnetic Network Equations
IEEE Access, 2021 Nonlinear magnetic network is an effective model to solve the magnetic field of the motor. For the strong nonlinearity of magnetic network parameters, it is difficult to solve the nonlinear magnetic network equations.
Peipei Yang +3 more
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Applied Sciences, 2022 An improved homotopy analysis method (IHAM) is proposed to solve the nonlinear differential equation, especially for the case when nonlinearity is strong in this paper.
Yinshan Li +3 more
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The exact solutions of nonlinear problems by Homotopy Analysis Method (HAM) [PDF]
Computational Ecology and Software, 2016 The present paper presents the comparison of analytical techniques. We establish the existence of the phenomena of the noise terms in the perturbation series solution and find the exact solution of the nonlinear problems.
Hafiz Abdul Wahab +2 more
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