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Homotopy perturbation method for Chebyshev and Legendre equations
Homotopy Perturbation Method Ordinary Differential Equations
2010/9/26
In this paper, we implement the Homotopy Perturbation Method to obtain the solutions of Chebyshev and Legendre differential equations. The exact solution will be find by constructing an efficient homo...
Homotopy perturbation Pade technique for constructing approximate and exact solutions of Boussinesq equations
Homotopy perturbation method Padé approximants
2010/9/13
Based on the homotopy perturbation method (HPM) and Padé approximants (PA), explicit approximate and exact solutions are obtained for cubic Boussinesq equations. HPM is used for analytic treatment to ...
Homotopy perturbation method for fractional-order Burgers-Poisson equation
Homotopy perturbation Burgers-Poisson equation time derivative
2010/4/2
In this paper, the fractional-order Burgers-Poisson equation is introduced by replacing the first-order time derivative by fractional derivative of order $\alpha$. Both exact and approximate explicit ...
Approximate analytical solution of 3D fractional microscale heat equation using modified homotopy perturbation method
Homotopy Perturbation Method (HPM) Three-dimensional heat transport equation heat flux gradient
2010/9/14
In the present article, we use modified homotopy perturbation method (HPM) to find approximate analytical solution of three-dimensional time fractional microscale heat transport equation. This transpo...
Homotopy perturbation method for computing eigenelements of Sturm-Liouville two point boundary value problems
Homotopy Perturbation Method Sturm-Liouville problem
2010/9/14
In this work we consider the application of the Homotopy Perturbation Method (HPM) to compute the eigenvalues and the corresponding normalized eigenfunction of Sturm-Liouville problem. To illustrate t...
Application of homotopy perturbation method to some nonlinear problems
Homotopy perturbation method Burgers equation
2010/9/15
In this paper, we obtain the series solutions to three well known equations arising in different fields of science. We apply homotopy perturbation method (HPM) to Burgers equation, the regularized lon...
The use of variational iteration method and homotopy perturbation method for Painleve equation I
Painlev`e equations Variational Iteration Method
2010/9/15
In this study, Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM) are employed to approximate solutions of Ppainlev´e equation I, with it’s initial conditions. VIM based o...
New approach to mixture of the Adomian decomposition and homotopy perturbation method for approximate and analytical solution of integral equations and fractional differential equations
Homotopy perturbation method Adomian Decomposition method
2010/9/17
Nonlinear phenomena play a crucial role in applied mathematics and physics. Analytic solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining Analytic solution...
Exact solutions for systems of Volterra integral equations of the first kind by homotopy perturbation method
Systems of Volterra integral equations Homotopy perturbation method
2010/9/14
In this article, the homotopy perturbation method is proposed to solve systems of Volterra integral equations of the first kind. Theoretical proposes are presented briefly, so that this paper can be r...
Application of homotopy-perturbation method for solving gas dynamics equation
The homotopy-perturbation method Gas Dynamics equation
2010/9/14
In this paper applies the He’s homotopy perturbation method (HPM)to obtaining solution of nonlinear dynamic model.The nonlinear considered model is the Gas Dynamics equation.