In this paper, we consider the application of the homotopy perturbation method (HPM) to compute the eigenvalues of the Sturm-Liouville problem (SLP) which is called non-definite SLP. Two important Examples show that HPM is reliable method for computing the eigenvalues of SLP.

In this study, bymeans of homotopyperturbationmethod (HPM) an approximate analytical solution of the magnetohydrodynamic (MHD) boundary layer flow of an upper-convected Maxwell (UCM) fluid over a porous stretching sheet is obtained. The main feature of the HPM is that it deforms a difficult problem into a set of problems which are easier to solve. HPM produces analytical expressions for the sol...

High power RF systems have increasing potential for application by the Army. High power RF, or high power microwave (HPM), systems can disrupt or disable enemy communications and weapons systems. Fundamental constraints on the availability of HPM sources to the war fighter are the size and portability. Traditional pulsed power systems capable of producing high power RF signals are massive and s...

In this study, a high-performance mortar (HPM) was produced using fly ash as an alternative binder to increase the strength and solve problem regarding environmental degradation due harmful elements content in ash. The used study obtained from NII Tanasa Power Plant. assessment of leaching test only for HPM containing high volume (40%) compared initial After performing compressive strength, wer...

Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM) are two analytic methods to solve the linear and nonlinear equations which can be used to obtain the numerical solution. This paper presents the application of the HAM to Fredholm and Volterra integral equations. The HAM contains the auxiliary parameter ~, that provides a powerful tool to analyze strongly linear and nonlinear...

In this work the Homotopy Perturbation Method (HPM) is used to find an exact or approximate solutions of Lotka-Volterra models. Then we compare HPM solution with given by SBA (Somé Blaise Abbo) method.

In this paper, the piecewise homotopy perturbation method (PHPM) is employed to solve the Hamilton– Jacobi–Bellman (HJB) equation arising in the optimal control problems. The method is a simple modification of the standard homotopy perturbation method (HPM), in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the...

Mathematical models are presented in this paper to describe human maneuvers for aircraft flight simulation. Input parameters for the human pilot model (HPM), such as the course deviation indicator (CDI) and the heading change, are defined for the model, and are related mathematically to those in the proportional-integral-derivative (PID) controller for automatic control. Similarities are discus...

This work presents advances on the development of a resonant radiator, obtained as augmentation conventional Impulse Radiating Antenna (IRA) with Frequency Selective Surface (FSS), in L-band. An improved passband-type FSS is by exploring Multiple Split Ring Resonators (MCSRR) unit cells to obtain higher Q-factor radiator. The effects multiband and tunable FSS’s are also studied verified via sim...

High Performance Manufacturing (HPM) technology comprises new developments to reduce primary process times and lead times significantly by the means of enhanced cutting abilities, adapted tooling and machine concepts combined with integrated examination and optimization of the process chain. The overall objective of High Performance Manufacturing is to increase efficiency and quality of product...