The nonlinear two-dimensional forced-convection boundary-layer magneto hydrodynamic MHD incompressible flow of nanofluid over a horizontal stretching flat plate with variable magnetic field including the viscous dissipation effect is solved using the homotopy perturbation method HPM . In the present work, our results of the HPM are compared with the results of simulation using the finite differ...

This paper reflects the implementation of homotopy perturbation method (HPM) on the re-formulated systems of fourth-order parabolic partial differential equations. Numerical results explicitly reveal the complete reliability of the proposed algorithm.

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 method. the proposed homotopy perturbation method is applied to reformulate the first and the second order initial value problems which leads ...

In this paper, Homotopy perturbation method (HPM) has been applied to investigate the effect of magnetic field on Cu-water nanofluid flow in non-parallel walls. The validity of HPM solutions were verified by comparing with numerical results obtained using a fourth order Runge–Kutta method. Effects of active parameters on flow have been presented graphically. The results show that velocity i...

In this article, we apply homotopy perturbation method(HPM) for solving non-linear equations which play an important role in different branches of sciencs. To illustrate the capability , reliability and simplicity of this method , some examples are given.

Modified homotopy perturbation method (HPM) was used to solve the hypersingular integral equations (HSIEs) of the first kind on the interval [-1,1] with the assumption that the kernel of the hypersingular integral is constant on the diagonal of the domain. Existence of inverse of hypersingular integral operator leads to the convergence of HPM in certain cases. Modified HPM and its norm converge...

In this paper, the solution of the evolutionaryfourth-order in space, Sivashinsky equation is obtained by meansof homotopy perturbation method (textbf{HPM}). The results revealthat the method is very effective, convenient  and quite accurateto systems of nonlinear partial differential equations.

In this paper, we study semi-analytical methods entitled Homotopy pertourbation method (HPM) to solve fuzzy impulsive fractional differential equations based on the concept of generalized Hukuhara differentiability. At the end first of Homotopy pertourbation method is defined and its properties are considered completely. Then econvergence theorem for the solution are proved and we will show tha...

In this work, the homotopy perturbation method (HPM) is used to solve initial valueproblems of first order with various types discontinuities. The numerical results obtained (arecompared) using traditional HPM, and integral equation nth thesolution Simpson Trapezoidal Rules demonstrate that are extremely accurate when compared exact solution. maximumabsolute error, ‖ . , maximum relative residu...

In this paper Optimal Homotopy Asymptotic Method (OHAM) has been used to the flow past a rotating disk. This method is applied to the problem obtained from flow past a rotating disk shows its efficiency and effectiveness. This method control the convergence of approximate solution in a convenient way, when it is compared with other methods of solution found in the literature as Homotopy Perturb...