This paper presents the study of a numerical scheme for analytical solution nonlinear gas dynamic equation. We use idea Laplace–Carson transform and associate it with homotopy perturbation method (HPM) obtaining series show that this hybrid approach is excellent in agreement converges to exact very smoothly. Further, HPM combined He’s polynomial utilized minimize simulations conditions make eas...

In this paper, a homotopy perturbation method (HPM) and modified homotopy perturbation (MHPM) are proposed to solve singular integral equation with generalized Abel's kernel.

Plasma-filled diode regarded as perspective source of electron beam feeding HPM generator of GW power level, comparing to conventional explosive emission vacuum diode. Electron beam generation occurs in plasma double layer, where plasma boundary plays as an anode. It allows cancelling the usage of anode foils or grids in HPM generators with the virtual cathode, which could limit its life time t...

In the paper, we discuss applications of Homotopy Perturbation Method (HPM) related to wave equations subjected non-local conditions and method is applied two test problems in paper. The was introduced by J.-H. He (Homotopy perturbation technique, Computer Methods Applied Mechanics Engineering 178(3-4) (1999), 257 – 262) solutions are matched against exact as literature. results indicate that H...

Power modulators for pulsed microwave applications, generally utilizing a thyratron-switched PFN, typically produce 50-120 kV, 1-2 kA microsecond timescale pulses with sub-microsecond ( -100-200 nsec) risetimes. This paper will review an investigation into the feasibility of utilizing certain solid-state power switches at the relatively fast speeds required for HPM modulators. Two very differen...

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...

INTRODUCTION This aim of this study was to increase dairy consumption in students following an education intervention based on Pender's Health Promotion Model (Pender's HPM) variables. METHODS The study was done during September 2014-April 2015 in Savojbolagh, Alborz, Iran. The study sample included 142 middle-school female students who were allocated to either the intervention (n=71) or the ...

As automation and advanced technologies are introduced into transport systems ranging from the Next Generation Air Transportation System termed NextGen, to the advanced surface vehicle Intelligent Transportations Systems, to future systems designed for space exploration, there is an increased need to validly predict how the future systems will be vulnerable to error given the demands imposed by...

Abstract Modeling of the electrostatic potential for fully depleted (FD) silicon-on-insulator (SOI) metal-oxide-semiconductor field effect transistor (MOSFET) is presented in this article. The modeling based on analytical solution two-dimensional Poisson’s equation obtained by using homotopy perturbation method (HPM). HPM with suitable boundary conditions results so-called general and closed-fo...

Simply supported steel beams with rectangular hollow section (RHS) are investigated, taking into account large twist and cross-sections distortions. A closed-form expression for the critical value of external couple inducing lateral torsional buckling is found; homotopy perturbation method (HPM) used to investigate post-buckling non-linear path. The linear paths given by HPM compared those of: ...