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Some models of elastic foundations are provided by supposing that they are composed by elastic columns with kind of interactions such as contact forces. That yield a differential equation involving gradients of the displacement field. Recent models of elastic foundation are proposed introducing into the constitutive equation of the foundation soil forces depending on the relative vertical displacements...
The equivalence between the infinite RC transmission line and the fractional order integrator is analyzed in the paper. This equivalence is used to demonstrate that the integrator infinite state model corresponds to the spatial Fourier transform of the RC line diffusive model. A direct consequence is the correspondence between integrator initialization in the time domain and RC line initialization...
Our goal is to prove the existence of a connection between fractal geometries and fractional calculus. We show that such a connection exists and has to be sought in the physical origins of the power laws ruling the evolution of most of the natural phenomena, and that are the characteristic feature of fractional differential operators. We show, with the aid of a relevant example, that a power law comes...
This paper is devoted to the numerical approximation of the diffusion equation with distributed order in time. A numerical method is proposed in the case where the order of the time derivative is distributed over the interval [0, 1], and results concerning the stability and convergence of that scheme are provided. Two numerical examples are presented illustrating the theoretical numerical results.
A two-dimensional variable-order fractional nonlinear reaction-diffusion model is considered. A second-order spatial accurate semi-implicit alternating direction method for a two-dimensional variable-order fractional nonlinear reaction-diffusion model is proposed. Stability and convergence of the semi-implicit alternating direct method are established. Finally, some numerical examples are given to...
The prospects of meeting the future's high energy demands lie in the exploration of unconventional hydrocarbon reservoirs, of which the shale gas and the tight gas are two important resources. The deep understanding of such reservoirs is crucial to the economical recovery of such energy resources. With the advancement in the technological sides, such as, hydraulic fracturing and horizontal drilling,...
There has been growing interest in all-electronic sources in the terahertz frequencies. A compact THz source is obtainable, if plasma-oscillations in the 2DEG of a high electron mobility transistor (HEMT) are utilized. With this goal in mind, we develop a numerical tool which models such oscillations. We use hydrodynamic equations to model drifting plasma in the 2DEG, whereas the surrounding environment...
An electronic reverse auction system with one buyer and multiple suppliers is considered in this paper. The buyer procures multi-items from potential suppliers with unconstrained capacity and the suppliers bid competitively on combinations of items in the system. As an important decision problem from the buyer's perspective, a winner determination problem (WDP) of multi-items single-unit combinatorial...
The simulation methods based on stochastic realizations of state vector evolutions derived from the time convolutionless master equation are investigated. The quantum jumps for non-Markovian systems and their waiting time distribution is mainly focused on. With the help of an exact analytical waiting time distribution, the non-Markovian quantum trajectory for a stochastic process of a driven two-level...
Effects of AlOx interfacial layer in the W/AlOx/TaOx/TiN structures have been investigated for the first time. This RRAM device shows long endurance of 106 cycles and good retention at 85°C for a low current compliance of 100 μA. A physics based simulation is studied to understand the set and reset mechanism of RRAM. The nature of ions migration, potential profile and temperature of filament during...
The manner in which microtubules, the essential cellular biopolymers, handle and process electrical signals is still uncompleted puzzle. In this paper, we have elaborated some new electrodynamic properties of these protein-based nanotubes, specifically, their ability to conduct ionic currents. In that context, it has been established an improved electrical model of microtubule as biomolecular nonlinear...
The development of a framework for the analysis and design optimization of power electronics module is described in this paper. This framework consists of analysis software that is capable of carrying out detailed dynamic as well as steady state electric and thermal analysis on power modules using finite difference numerical method and a black-box optimization solver that is based on the Mesh Adaptive...
As soldering process is a high temperature phenomenon accompanied by surface reaction kinetics, the computational model for solder bubble growth can be a strong arena for describing those aspects which are otherwise difficult to be understood through the experimental methods. In this paper, the growth of gaseous bubbles in the molten tin solder has been modeled using finite element method. The advection-diffusion...
The current paper presents a model of an electrothermic system consisting of: electric resistive chamber furnace, an object subjected to the thermal process — a workpiece and a PID regulator. The model is based on numerical methods and it is developed through the software product MATLAB. The purpose of the modeling process is to determine a methodology that can be used to find the required parameters...
Motivated by observations of actual clinic operations, we design a hybrid appointment system (HAS) for a single-physician clinic, in which the system serves a mix of acute and chronic-care patient by allowing both advance and same-day bookings to increase patient satisfaction. Because of the existence of no-shows of regular patients who book in advance, to maintain their revenue, clinics must carefully...
The problem of finding an analytical closed form solution of the solar cell junction ideality factor n is studied in some detail, by the Special Trans Functions Theory (STFT). The novel mathematical method just as the structure of the theoretical derivation is presented, while proofs and numerical results confirm the validity and base principle of the STFT. In addition, the obtained results are compared...
This paper proposes the method independent of numerical integration for analyzing the stability of a limit cycle walker that falls down as a 1-DOF rigid body in the same posture. We introduce the model of an underactuated rimless wheel with a torso for analysis and show that the transition function of the state error can be analytically derived from the recurrence formula of kinetic energy immediately...
To keep up with the growing energy demand, legacy aircooled data centers have begun to implement simple but effective energy efficiency strategies or best practices. Improving “air management”, optimizing the delivery of cool air and the collection of waste heat, are among these efficiency strategies. One of the most powerful tools for identifying energy wasteful practices is the application of the...
The T-match is a frequently cited impedance matching technique for UHF RFID tags. However, there appear to be many misconceptions about what the term “T-match” actually implies and when the relevant assumptions no longer apply. This work focuses on creating a clear definition of the T-match design space in order to differentiate it from other impedance matching techniques. A comparison between analytic...
We study a multi-class time-sharing discipline with relative priorities known as Discriminatory Processor Sharing (DPS), which provides a natural framework to model service differentiation in systems. The analysis of DPS is extremely challenging and analytical results are scarce. We develop closed-form approximations for the mean conditional and unconditional sojourn times. The main benefits of the...
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