In this paper we examine fluctuation and frequency of the governing equation ofoscillator with odd and even nonlinearities without damping and we present a new efficientmodification of the He’s homotopy perturbation method for this equation. We applied standard andmodified homotopy perturbation method and compare them with the numerical solution (NS), also weapplied He’s Energy balance method (...

This article analyzes a strongly nonlinear oscillator with cubic and harmonic restoring force and proposes an efficient analytical technique based on the modified energy balance method (MEBM). The proposed method incorporates higher-order approximations. After applying the proposed MEBM, a set of complicated higher-order nonlinear algebraic equations are obtained. Higher-order nonlinear algebra...

in this paper, the heat balance of an engine was investigated experimentally. the experimental work was conducted on the ef7 natural gas fueled and turbocharged engine. the main goal was to develop an empirical equation to be able to predict the heat balance of the engine at various loads and conditions. the data were collected at four different conditions, two different loads and two different...

For centuries the concept of energy balance has provided the bedrock for research into the mechanisms controlling body weight. However, in recent years there has been growing interest in the regulation of the individual macronutrients that combine to determine the energy status of an individual. Thus the classical energy balance equation can be more accurately represented as the integrated sum ...

Heat flux plates are commonly used to measure soil heat flux, a component of the surface energy balance. The plate method is simple and precise, but several previous studies have demonstrated the potential for relatively large errors. Here we present the results of in situ tests of the plate method, and we describe some promising alternative methods. Summertime soil heat flux was measured with ...

In this paper, we solve numerically a semiconductor device energy balance equation using monotone iterative method. With the proposed solution technique, we prove the solution of ̄nite volume discretized semiconductor device energy balance equation converges monotonically. The method presented here provides an e± cient approach for the numerical solution of energy balance equation in submicron ...