In this paper we applied a new analytic approximate technique Optimal Homotopy Asymptotic Method (OHAM) for treatment of coupled differential-difference equations (DDEs). To see the efficiency and reliability of the method, we consider Relativistic Toda coupled nonlinear differential-difference equation. It provides us a convenient way to control the convergence of approximate solutions when it...

Imaging-in-Flow is a concept with long-standing appeal, coupled with a persistent struggle to achieve adequate fluorescence sensitivity. The ImageStream system solves the sensitivity problem by using a unique charge coupled detector (CCD) camera and a powerful image detection technique called time-delay-integration (TDI). The focus of this report is TDI technology and the way it has been implem...

Dust particles travel a long way through the atmosphere. The modelling of such movement is traditionally done by setting up a system of coupled partial differential equations. In this article Onno Bokhove, researcher in numerical analysis and computational mechanics, and Peter Lynch, researcher at the Meteorology and Climate Centre at the School of Mathematical Sciences in Dublin, advocate a mo...

We present a simple SUSY n=2 superspace extension of the differential equations in which the sought solutions are considered to be real superfields but maintaining the common derivative operators and the coefficients of the differential equations unaltered. In this way, we get selfconsistent systems of coupled differential equations for the components of the superfield. This procedure is applie...

economics has hit the mainstream in the last decade with popular books like freakonomics and the undercover economist reaching the masses. these authors have used their toolkits far beyond the narrow scope of money and finance and answered questions pertaining to anything from social policy to demographics to crime. their appeal has largely been their ability to explain that small underlying fo...

Recent developments involving strongly coupled superstrings are discussed from a phenomenological point of view. In particular, strongly coupled E8 ×E′ 8 is described as an appropriate long-wavelength limit of M-theory, and some generic phenomenological implications are analyzed, including a long sought downward shift of the string unification scale and a novel way to break supersymmetry. A spe...

In this work, nonlocal vibration of double of carbon nanotubes (CNTs) system conveying fluid coupled by visco-Pasternak medium is carried out based on nonlocal elasticity theory where CNTs are placed in uniform temperature change and magnetic field. Considering Euler-Bernoulli beam (EBB) model and Knudsen number, the governing equations of motion are discretized and Ritz method is applied to ob...

This paper addresses synchronizing two coupled chaotic FitzHugh–Nagumo (FHN) neurons with weakly gap junction under external electrical stimulation (EES). To transmit information among coupled neurons, by generalization of the integer-order FHN equations of the coupled system into the fractional-order in frequency domain using Crone approach, the behavior of each coupled neuron relies on its pa...

Abstract One of the major challenges coupled problems is to manage nonconforming meshes at interface between two models and/or domains, due different numerical schemes or domain discretizations employed. Moreover, very often complex submodels depend on (e.g., physical geometrical) parameters, thus making repeated solutions problem through high-fidelity, full-order extremely expensive, if not un...