Results 11 to 20 of about 3,488 (215)
On the convergence of Homotopy perturbation method [PDF]
Journal of the Egyptian Mathematical Society, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ayati, Zainab, Biazar, Jafar
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HOMOTOPY-PERTURBATION METHOD [PDF]
, 2008 The homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing on the problem. It has been attempted to show the capabilities and wide-range applications of the homotopy perturbation method in comparison with the previous ones in solving heat transfer problems ...
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Homotopy Perturbation Method with an Auxiliary Term [PDF]
Abstract and Applied Analysis, 2012 The two most important steps in application of the homotopy perturbation method are to construct a suitable homotopy equation and to choose a suitable initial guess. The homotopy equation should be such constructed that when the homotopy parameter is zero, it can approximately describe the solution property, and the initial solution can be chosen with ...
Ji-Huan He
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Homotopy Perturbation Method For Fractional Shallow Water Equations [PDF]
Sultan Qaboos University Journal for Science, 2014 In this paper, the homotopy perturbation method is adopted to find explicit and numerical solutions for systems of non-linear fractional shallow water equations. The fractional derivatives are described in the Caputo sense.
Kamel Al-Khaled, M. K. Al-Safeen
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HOMOTOPY PERTURBATION METHOD FOR SOLVING MODELLING THE POLLUTION OF A SYSTEM OF LAKES [PDF]
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : In this article, homotopy perturbation method is implemented to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as modelling the pollution of a system of lakes. The proposed scheme is based on homotopy
Mehmet MERDAN
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Partial Differential Equations in Applied Mathematics, 2023 The homotopy perturbation method is extend to derive the approximate solution of the variable order fractional partial differential equations with time delay. The variable order fractional derivative is taken in the Caputo sense. An approximation formula
Adnan K. Farhood, Osama H. Mohammed
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On the coupling of least squares method and homotopy perturbation method for the solution of differential-algebraic equations and its applications in optimal control problems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2020 In this paper, two semi-analytical techniques are introduced to compute the solutions of differential-algebraic equations (DAEs), called the Least Squares Repetitive Homotopy Perturbation Method (LSRHPM) and the Least Squares Span Repetitive Homotopy ...
Azar Shabani +3 more
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Homotopy perturbation and Elzaki transform for solving Sine-Gorden and Klein-Gorden equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2013 In this paper, the homotopy perturbation method (HPM) and Elzaki transform is employed to obtain the approximate analytical solution of the Sine Gorden and the Klein Gorden equations. The nonlinear terms can be handled by the use of homotopy perturbation
E. Hesameddini, N. Abdollahy
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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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Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method [PDF]
, 2009 The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution.
Abbasbandy, S., Parkes, E.J.
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