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S Seifi - One of the best experts on this subject based on the ideXlab platform.
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solving a system of nonlinear fractional partial differential equations using homotopy Analysis Method
Communications in Nonlinear Science and Numerical Simulation, 2009Co-Authors: Hossein Jafari, S SeifiAbstract:Abstract In this article, the homotopy Analysis Method (HAM) has been employed to obtain solutions of a System of nonlinear fractional partial differential equations. This indicates the validity and great potential of the homotopy Analysis Method for solving system of fractional partial differential equations. The fractional derivative is described in the Caputo sense.
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homotopy Analysis Method for solving linear and nonlinear fractional diffusion wave equation
Communications in Nonlinear Science and Numerical Simulation, 2009Co-Authors: Hossein Jafari, S SeifiAbstract:Abstract In this paper, we adopt the homotopy Analysis Method (HAM) to obtain solutions of linear and nonlinear fractional diffusion and wave equation. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented.
Hossein Jafari - One of the best experts on this subject based on the ideXlab platform.
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solving a multi order fractional differential equation using homotopy Analysis Method
Journal of King Saud University - Science, 2011Co-Authors: Hossein Jafari, S Das, Haleh TajadodiAbstract:Abstract In this paper we have used the homotopy Analysis Method (HAM) to obtain solution of multi-order fractional differential equation. The fractional derivative is described in the Caputo sense. Some illustrative examples have been presented.
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the homotopy Analysis Method for solving higher dimensional initial boundary value problems of variable coefficients
Numerical Methods for Partial Differential Equations, 2010Co-Authors: Hossein Jafari, M Saeidy, M A FiroozjaeeAbstract:In this article, higher dimensional initial boundary value problems of variable coefficients are solved by means of an analytic technique, namely the Homotopy Analysis Method (HAM). Comparisons are made between the Adomian decomposition Method (ADM), the exact solution and the homotopy Analysis Method. The results reveal that the proposed Method is very effective and simple. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010
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solving nonlinear klein gordon equation with a quadratic nonlinear term using homotopy Analysis Method
Iranian Journal of Optimization, 2010Co-Authors: Hossein Jafari, M Saeidy, Arab M FiroozjaeeAbstract:In this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy Analysis Method (HAM).Comparisons are made between the Adomian decomposition Method (ADM), the exact solution and homotopy Analysis Method. The results reveal that the proposed Method is very effective and simple.
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solving a system of nonlinear fractional partial differential equations using homotopy Analysis Method
Communications in Nonlinear Science and Numerical Simulation, 2009Co-Authors: Hossein Jafari, S SeifiAbstract:Abstract In this article, the homotopy Analysis Method (HAM) has been employed to obtain solutions of a System of nonlinear fractional partial differential equations. This indicates the validity and great potential of the homotopy Analysis Method for solving system of fractional partial differential equations. The fractional derivative is described in the Caputo sense.
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homotopy Analysis Method for solving linear and nonlinear fractional diffusion wave equation
Communications in Nonlinear Science and Numerical Simulation, 2009Co-Authors: Hossein Jafari, S SeifiAbstract:Abstract In this paper, we adopt the homotopy Analysis Method (HAM) to obtain solutions of linear and nonlinear fractional diffusion and wave equation. The fractional derivative is described in the Caputo sense. Some illustrative examples are presented.
S. Abbasbandy - One of the best experts on this subject based on the ideXlab platform.
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on convergence of homotopy Analysis Method and its application to fractional integro differential equations
Quaestiones Mathematicae, 2013Co-Authors: S. Abbasbandy, M S Hashemi, Ishak HashimAbstract:In this paper, we have used the homotopy Analysis Method (HAM) to obtain approximate solution of fractional integro-differential equations (FIDEs). Convergence of HAM is considered for this kind of equations. Also some examples are given to illustrate the high efficiency and precision of HAM. Keywords: Fractional integro-differential equation, homotopy Analysis Method, convergence control parameter Quaestiones Mathematicae 36(2013), 93–105
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on convergence of homotopy Analysis Method and its application to fractional integro differential equations
Quaestiones Mathematicae, 2013Co-Authors: S. Abbasbandy, M S Hashemi, Ishak HashimAbstract:In this paper, we have used the homotopy Analysis Method (HAM) to obtain approximate solution of fractional integro-differential equations (FIDEs). Convergence of HAM is considered for this kind of equations. Also some examples are given to illustrate the high efficiency and precision of HAM. Keywords: Fractional integro-differential equation, homotopy Analysis Method, convergence control parameter Quaestiones Mathematicae 36(2013), 93–105
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numerical solution of the generalized zakharov equation by homotopy Analysis Method
Communications in Nonlinear Science and Numerical Simulation, 2009Co-Authors: S. Abbasbandy, E Babolian, M AshtianiAbstract:Abstract In this paper, an analytic technique, namely the homotopy Analysis Method (HAM) is applied to obtain approximations to the analytic solution of the generalized Zakharov equation. The HAM contains the auxiliary parameter ℏ , which provides us with a simple way to adjust and control the convergence region of the solution series.
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soliton solutions for the fitzhugh nagumo equation with the homotopy Analysis Method
Applied Mathematical Modelling, 2008Co-Authors: S. AbbasbandyAbstract:Abstract An analytic technique, the homotopy Analysis Method (HAM), is applied to obtain the soliton solution of the Fitzhugh–Nagumo equation. The homotopy Analysis Method (HAM) is one of the most effective Method to obtain the exact solution and provides us with a new way to obtain series solutions of such problems. HAM contains the auxiliary parameter ℏ , which provides us with a simple way to adjust and control the convergence region of series solution.
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solitary wave solutions to the kuramoto sivashinsky equation by means of the homotopy Analysis Method
Nonlinear Dynamics, 2008Co-Authors: S. AbbasbandyAbstract:The homotopy Analysis Method (HAM) is used to find a family of solitary solutions of the Kuramoto–Sivashinsky equation. This approximate solution, which is obtained as a series of exponentials, has a reasonable residual error. The homotopy Analysis Method contains the auxiliary parameter ℏ, which provides us with a simple way to adjust and control the convergence region of series solution. This Method is reliable and manageable.
Ishak Hashim - One of the best experts on this subject based on the ideXlab platform.
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on convergence of homotopy Analysis Method and its application to fractional integro differential equations
Quaestiones Mathematicae, 2013Co-Authors: S. Abbasbandy, M S Hashemi, Ishak HashimAbstract:In this paper, we have used the homotopy Analysis Method (HAM) to obtain approximate solution of fractional integro-differential equations (FIDEs). Convergence of HAM is considered for this kind of equations. Also some examples are given to illustrate the high efficiency and precision of HAM. Keywords: Fractional integro-differential equation, homotopy Analysis Method, convergence control parameter Quaestiones Mathematicae 36(2013), 93–105
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on convergence of homotopy Analysis Method and its application to fractional integro differential equations
Quaestiones Mathematicae, 2013Co-Authors: S. Abbasbandy, M S Hashemi, Ishak HashimAbstract:In this paper, we have used the homotopy Analysis Method (HAM) to obtain approximate solution of fractional integro-differential equations (FIDEs). Convergence of HAM is considered for this kind of equations. Also some examples are given to illustrate the high efficiency and precision of HAM. Keywords: Fractional integro-differential equation, homotopy Analysis Method, convergence control parameter Quaestiones Mathematicae 36(2013), 93–105
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solving systems of odes by homotopy Analysis Method
Communications in Nonlinear Science and Numerical Simulation, 2008Co-Authors: Sami A Bataineh, Mohd. Salmi Md. Noorani, Ishak HashimAbstract:Abstract This paper applies the homotopy Analysis Method (HAM) to systems of ordinary differential equations (ODEs). The systems investigated include stiff systems, the chaotic Genesio system and the matrix Riccati-type differential equation. The HAM gives approximate analytical solutions which are of comparable accuracy to the seven- and eight-order Runge–Kutta Method (RK78).
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the homotopy Analysis Method for cauchy reaction diffusion problems
Physics Letters A, 2008Co-Authors: Sami A Bataineh, Mohd. Salmi Md. Noorani, Ishak HashimAbstract:Abstract In this Letter, the homotopy Analysis Method (HAM) is employed to obtain a family of series solutions of the time-dependent reaction–diffusion problems. HAM provides a convenient way of controlling the convergence region and rate of the series solution.
Farzad Khani - One of the best experts on this subject based on the ideXlab platform.
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the homotopy Analysis Method to solve the burgers huxley equation
Nonlinear Analysis-real World Applications, 2009Co-Authors: A. Molabahrami, Farzad KhaniAbstract:Abstract In this paper, an analytical technique, namely the homotopy Analysis Method (HAM) is applied to obtain an approximate analytical solution of the Burgers–Huxley equation. This paper introduces the two theorems which provide us with a simple and convenient way to apply the HAM to the nonlinear PDEs with the power-law nonlinearity. The homotopy Analysis Method contains the auxiliary parameter ħ , which provides us with a simple way to adjust and control the convergence region of solution series.
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the homotopy Analysis Method to solve the burgers huxley equation
Nonlinear Analysis-real World Applications, 2009Co-Authors: A. Molabahrami, Farzad KhaniAbstract:Abstract In this paper, an analytical technique, namely the homotopy Analysis Method (HAM) is applied to obtain an approximate analytical solution of the Burgers–Huxley equation. This paper introduces the two theorems which provide us with a simple and convenient way to apply the HAM to the nonlinear PDEs with the power-law nonlinearity. The homotopy Analysis Method contains the auxiliary parameter ħ , which provides us with a simple way to adjust and control the convergence region of solution series.
