homotopy analysis method
Solving a System of Linear Equations by Homotopy Analysis Method
... the homotopy analysis method is presented. The proposed method is compared with the classical Jacobi iterative method, and the convergence analysis is ...
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Semianalytical solutions by homotopy analysis method for EIAV infection with stability analysis
... Abstract Equine Infectious Anemia Virus (EIAV) is a bovine lentivirus group that creates equine infectious anemia in horses around the globe. In this paper, we propose a basic nonlinear differential equation for EIAV ...
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An approximate solution of fractional cable equation by homotopy analysis method
... the homotopy analysis method (HAM) is applied to solve the fractional cable equation by the Riemann-Liouville fractional partial ...This method includes an auxiliary parameter h which provides ...
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A Modified Homotopy Analysis Method for Solving Boundary Layer Equations
... A new modification of the Homotopy Analysis Method (HAM) is presented for highly nonlinear ODEs on a semi-infi- nite domain. The main advantage of the modified HAM is that the number of terms in the ...
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A two parameter mathematical model for immobilizedenzymes and Homotopy analysis method
... . 6. CONCLUSIONS A non-linear time independent equation has been formulated and solved analytically using Homotopy analysis method. The primary result of this work is the first approximate ...
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Analytic approximate solution for the KdV equation with the homotopy analysis method
... e-mail: 3 zainalabdaziz@gmail.com Abstract The homotopy analysis method (HAM) is applied to obtain the analytic approximate solution of the well-known Korteweg-de Vries (KdV) equation. The HAM is an ...
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Discrete homotopy analysis method for the nonlinear Fredholm integral equations
... have discussed about the selection of the initial approximation, auxiliary linear operator, auxiliary function and convergence- control parameter in the application of the HAM. They pre- sented methods by which one may ...
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Application of Homotopy Analysis Method to Fredholm and Volterra integral equations
... Abstract Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM) are two analytic methods to solve the linear and nonlinear equations which can be used to obtain the ...
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Application of Homotopy Analysis Method for Solving an SEIRS Epidemic Model
... Homotopy analysis method was employed in the analysis of one dimensional heat conduction problem with temperature dependent thermal ...
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Approximate analytical solutions of systems of PDEs by homotopy analysis method
... The homotopy analysis method (HAM) was first proposed by Liao in his ...this method has been successfully employed to solve many types of nonlinear, homogeneous or nonhomogeneous, equations ...
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Homotopy analysis method for option pricing under stochastic volatility
... concept homotopy that was first used by Liao [ 5 ] to develop an analytic method for the nonlinear ODE and PDE problems, namely the homotopy analysis ...the homotopy analysis ...
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Solution of fuzzy fractional differential equations using homotopy analysis method
... e-mail: 1 darklemon2000@gmail.com, 2 drnk2008@gmail.com, 3 kururatna2012@gmail.com Abstract This paper presents an efficient analytical solution for fuzzy fractional differential equations (FDEs) using homotopy ...
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An improved spectral homotopy analysis method for solving boundary layer problems
... Full list of author information is available at the end of the article Abstract This article presents an improved spectral-homotopy analysis method (ISHAM) for solving nonlinear differential ...
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The Application of Homotopy Analysis Method to Non-linear Reaction Diffusion System
... the homotopy analysis method is applied to non-linear reaction diffusion system of Lotka-Volterra type subject of extensive numerical and analytical ...this method. The results show that the ...
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Solution of a Vaccination Based SIR Epidemic Model by Homotopy Analysis Method
... of Homotopy Analysis Method (HAM)is discussed and employed to compute an approximation to the solution of nonlinear system of differential ...qualitative analysis reveals the vaccination ...
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Application of Homotopy Analysis Method for Solving Higher Order Differential Equations
... using homotopy analysis method. Homotopy analysis method applied successfully on this type of ...KEYWORDS: Homotopy analysis method, higher order ordinary ...
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Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method
... the homotopy analysis method (HAM) to solve the modified Kawahara ...the method, with the help of symbolic computation, is very effective and powerful for discrete nonlinear evolution equations ...
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Determination of water quality in uniform channel using homotopy analysis method
... difference method (FDM) to the hydrodynamic model with constant coefficients in the uniform reservoir and ...the homotopy in topology to propose a general analytical method for nonlinear problems, ...
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The application of discrete homotopy analysis method in one-dimensional thermal problem
... analytic method namely ‘Homotopy analysis method (HAM)’ has been ...this method, we can get the important and sufficient condition for convergence of series ...
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Solving Nonlinear Boundary Value Problems Using the Homotopy Analysis Method.
... the Homotopy Anal SIS method to derive the Adomian Decomposition ...composition method is a special case or the I lol11otop} Analysis ...same method to study the characteri tics of ...
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