In this paper, we use a combination of Legendre and Block-Pulse functionson the interval [0; 1] to solve the nonlinear integral equation of the second kind.The nonlinear part of the integral equation is approximated by Hybrid Legen-dre Block-Pulse functions, and the nonlinear integral equation is reduced to asystem of nonlinear equations. We give some numerical examples. To showapplicability of...

One of the important problems in reducing pollutant emission from diesel engines is trade-off between soot and NOx. Split injection is one of the most powerful tools that decrease soot and NOx emissions simultaneously. At the present work, the effect of split injection on the combustion process and emissions of a direct-injection diesel engine under full-load conditions is investigated by the c...

We systematically study the pulse advance and pulse compression in light propagation through a transparent, anomalously dispersive medium. Using an Argand diagram, we show that pulse compression is the only form of pulse distortion, while other forms of pulse distortion can be eliminated. Experimentally, we implement a dual-band electronic amplifier to measure the negative pulse group delay and...

We demonstrate ultrafast delay tuning of a slow-light pulse with a response time <10 ps. This is achieved using two types of slow light: dispersion-compensated slow light for the signal pulse, and low-dispersion slow light to enhance nonlinear effects of the control pulse. These two types of slow light are generated simultaneously in Si lattice-shifted photonic crystal waveguides, arising from ...

The traditional concept of group delay usually arises in connection with an expansion of the phase delay for an electromagnetic pulse. In this context, the group delay function (evaluated at a single ‘carrier’ frequency) describes the time required for a pulse to traverse a given displacement. However, if the bandwidth of the pulse encompasses a substantial portion of a resonance structure the ...

In this paper, a suitable numerical method based on block pulse functions is introduced to approximate the Wiener integrals which the exact solution of them is not exist or it may be so hard to find their exact solutions. Furthermore, the error analysis of this method is given. Some numerical examples are provided which show that the approximation method has a good degree of accuracy. The main ...