A. Noor et al. [7] analyze a technique by combining the variational iteration method and the homotopy perturbation method which is called the variational homotopy perturbation method (VHPM) for solving higher dimensional initial boundary value problems. In this paper, we consider the VHPM to obtain exact solution to Gas Dynamics equation.

In this paper, we will compare a Homotopy perturbation algorithm and Taylor series expansin method for a system of second kind Fredholm integral equations. An application of He’s homotopy perturbation method is applied to solve the system of Fredholm integral equations. Taylor series expansin method reduce the system of integral equations to a linear system of ordinary differential equation.

in the present paper the linear oscillator in r3 with z =constanthas been considered. the aim is to determine the necessary conditions forthe persistence of periodic solutions under discontinuous perturbations. a newapproach based on a computational method has been used. at the end weapply our method on an example.

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.

a generalized heckman model is used for the joint modeling of longitudinal continuousresponses and dropout in order to see the influence of a small perturbation of the elements of thecovariance structure on displacement of the likelihood. the perturbation from random dropout in thedirection of informative dropout is considered for mastitis data.

in this paper, we will compare a homotopy perturbation algorithm and taylor series expansin method for a system of second kind fredholm integral equations. an application of he’s homotopy perturbation method is applied to solve the system of fredholm integral equations. taylor series expansin method reduce the system of integral equations to a linear system of ordinary differential equation.

introduction: different mechanisms are involved in stress induced analgesia (sia) and hyperalgesia (sih). repeated stress induces development of tolerance to sia. the role of hpa axis and gs signaling pathway in these effects are investigated in the current study. methods: forced swim stress (5 min/day) in water (20±1 ºc) was employed to adult male wistar rats (200-250 g). the nociceptive thres...

background: nephrotoxicity is one of the major side-effects of cisplatin that has been seen in about 20% of treated patients. the aim of this study was to assess the effectiveness of a forced hydration protocol comprised of isotonic saline, potassium chloride (kcl) and magnesium sulfate (mgso4) on prevention of cisplatin nephrotoxicity. methods: this cross sectional prospective study was perfor...

The nonlinear behaviors of Eady-type baroclinic waves forced quasi-resonantly by topography are investigated. The complex amplitude equation which is a Landau equation with forcing terms is derived by using the perturbation method; the effect of viscosity is taken into account in the leading order as the Ekman layers at the top and the bottom of the fluid layer. For a given wave number and a ba...

where 3 depends’on the cross section area of the topography [see Miles’ Eqs. (5.2) and (5.3)‘]. A year later, VandenBroeck published his discovery of two smooth solitary wave solutions for the same physical model but from the perspective of direct numerical integration of Laplace equation with a free boundary and with nonlinear boundary conditions.2 One of his solitary waves is higher than the ...