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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...
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 ...
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...
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...
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...
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...
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...
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...
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.

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