This paper presents a class of theoretical and iterative method for linear partial differential equations. An algorithm and analytical solution with a initial condition is obtained using the reduced differential transform method. In this technique, the solution is calculated in the form of a series with easily computable components. There test modeling problems from mathematical mechanic, physi...

In this paper, we present two methods for the inverse problem of reconstructing a parameter profile of a nonuniform and dispersive transmission line — one frequency domain and one time domain method. Both methods are based on the wave splitting technique, but apart from that the methods are mathematically very different. The time domain analysis leads to hyperbolic partial differential equation...

Integral and integro-differential equations are one of the most useful mathematical tools in both pure and applied mathematics. In this article, we present a variational iteration method for solving Fredholm integro-differential equations. This study provides an analytical approximation to determine the behavior of the solution. To show the efficiency of the present method for our proble...

Under appropriate conditions, the dynamics of a control system governed by ordinary differential equations can be formulated several ways: differential inclusion, control parameterization, flatness parameterization, higher-order inclusions and so on. A plethora of techniques have been proposed for each of these formulations but they are typically not portable across equivalent mathematical form...

This paper presents a formulation of differential flatness—a concept originally introduced by Fliess, Levine, Martin, and Rouchon—in terms of absolute equivalence between exterior differential systems. Systems that are differentially flat have several useful properties that can be exploited to generate effective control strategies for nonlinear systems. The original definition of flatness was g...

Simultaneous spectral differential imaging is a high contrast technique by which subtraction of simultaneous images reduces noise from atmospheric speckles and optical aberrations. Small non-common wave front errors between channels can seriously degrade its performance. We present a new concept, a multicolor detector assembly (MCDA), which can eliminate this problem. The device consists of an ...

In this paper, the problem of forced convection over a horizontal flat plate under condition of variable plate temperature is presented and the homotopy perturbation method (HPM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. This paper provides good supplements to the existing literature and generalizes the previ...

We describe here a simple technique for flat-osmicating and flat-embedding of immunolabelled vibratome sections. The technique is particularly useful for large specimens such as whole cross-sections of rat spinal cord. After the vibratome section has been flat-osmicated on a flat surface under a glass coverslip, it is dehydrated and then embedded by placing it in a small drop of epoxy resin on ...

We extend the notion of flat inputs, which we previously introduced in the SISO case, towards non-linear MIMO systems. For MIMO systems, we have to distinguish two cases for differential flatness, corresponding to feedback-linearizability either by a static or a quasistatic feedback. For the first case, the construction of flat inputs can be solved easily by means of the observability codistrib...

Abstract: Telescopic amplifiers are often preferred for their large DC gain, low power dissipation and low flicker noise. On the other side, they suffer from serious problems like poor input common mode range and output swing. In this work, a simple technique to improve the input common mode range of telescopic structure is presented. To achieve this, two telescopic amplifiers using complementa...