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In this paper we have studied the Runge-Kutta multiresolution time-domain (RK-MRTD) scheme, in which the electromagnetic fields are expanded by the Coifman scaling functions as basis function. We have analyzed the convergence of the Runge-Kutta MRTD scheme based on the Coifman scaling functions by the theoretical solution predictions on the convergence and the numerical simulations. Because of the...
The most vicious ventricular arrhythmias are thought to underlie the majority of sudden cardiac death. Computer simulations based on complex mathematical models have been widely used to reveal their mechanisms. To solve these models with high accuracy and less computing time consumption are what people look for. In this paper a new numerical method was studied to integrate the cardiac electrical conduction...
Adaptive function projective synchronization between two different chaotic system with unknown parameters is studied based on Lyapunov stability theory, using the adaptive control method, all uncertain parameters including unknown coefficients of nonlinear terms of the drive system and response system are identified. Taking the single-mode laser Lorenz system and single scroll attractor chaotic system...
This paper describes a small segmented oscillating water column with three sections and the modeling techniques that can be used to simulate its performance. The turbine uses cascaded Savonius rotors and the unit is developed and tested for validation of the performance algorithms. It is shown that the systems can be easily described and developed. It would be suitable for a shoreline location such...
Embedded Runge-Kutta methods are well-known and efficient solution methods for initial value problems of ordinary differential equations (ODEs). In this paper, we discuss the parallel implementation of embedded Runge-Kutta methods for distributed address space. Our focus lies on the exploitation of a special structure of commonly appearing ODE systems to improve scalability and memory usage. We show...
In this paper, a special class of differential systems, which is known as linear, time invariant (LTI) descriptor (regular) differential systems with multi delays, is analytically studied. These kinds of systems are inherent in many physical, financial, and engineering applications. Using some elements of matrix pencil theory, we decompose the main system into two subsystems, whose solutions are obtained...
Mosquito-borne diseases cause considerable human mortality and morbidity around the globe, particularly in tropical countries. Mosquito-borne diseases such as dengue, malaria and yellow fever exhibit a distinct seasonal pattern. This leads to the hypothesis that episodes of mosquito-borne diseases are related to climatic conditions. It is observed that global atmospheric temperature has increased...
Main objective of this paper is to outline possible ways how to achieve a substantial acceleration in case of advection-diffusion equation (A-DE) calculation, which is commonly used for a description of the pollutant behavior in atmosphere. A-DE is a land of partial differential equation (PDE) and in general case it is usually solved by numerical integration due to its high complexity. These types...
The design of an efficient one-way hash function with good performance is a hot spot in modern cryptography researches. In this paper, a hash function construction method based on cell neural network (CNN) with hyper-chaos characteristics is proposed. The chaos sequence generated by iterating CNN with Runge-Kutta algorithm, then the sequence iterates with every bit of the plaintext continually. Then...
Flat belt widely used in many industrial applications suffers from axial motion when the centrelines of the rollers are not perfectly parallel. To reveal the relation between the belt axial motion and the angular misalignment of rollers, an analytic model for researching the belt axial motion in a 2-rollers flat belt system was first proposed, considered the internal mechanical feedback in endless...
Summary form only given. This paper proposes applying the 2-stage diagonally implicit Runge-Kutta (2S-DIRK) method of numerical integration to the calculation of electromagnetic transients (EMTs) in a power system. The accuracy and the numerical stability of 2S-DIRK are almost the same as those of the trapezoidal method, while 2S-DIRK does not produce sustained numerical oscillation due to a sudden...
In this paper, a new three- dimensional particle beam simulation using a high performance hardware is introduced. The graphics processing unit (GPU) hardware is highly parallel and has low-cost computational capabilities. The code uses NVIDIA CUDA programming model and a particle trajectory integration steps on the graphics hardware, in a standard 4th-order Runge-Kutta scheme. The model uses mesh...
The Lotka-Volterra system is traditionally integrated with the classical Runge-Kutta method of order four or the Runge-Kutta-Fehlberg method which fails to preserve the special structure of the system in long term integration. This paper transforms the Lotka-Volterra system into a Hamiltonian system and integrates it with two highly efficient symplectic methods. The results of the numerical simulation...
A new kinetic optimal midcourse guidance law is derived based on optimal control formulation. A new simplified Runge-Kutta-Grade numerical method is proposed to solve the optimal trajectory. An air-to-air missile example is used to compare the kinetic optimal midcourse guidance law with both the kinematic optimal guidance law and singular perturbation sub-optimal guidance law. Wherein, the latter...
According to the rolling slippage of a rolling mill drive train with blackash at the palm end of roller, the present authors have established a non-linear mechanical model and its corresponding mathematical model, and used the Runge-Kutta method to solve the response of the system. Based on the analysis of the model, found that the slippage of rolling mill might cause the systempsilas chaotic behaviors...
In this paper, a novel analytical method (DTM-Pade) is proposed for solving nonlinear differential equations, especially for boundary-layer and natural convection problems. This method is based on combination of the differential transform method and the Pade approximant that we use for solve the thermal boundary-layer over a flat plate with a convective surface boundary condition. This technique is...
This paper presents the implementation of an induction machine dynamic simulation on a field-programmable gate array (FPGA) board. Using FPGAs as computational engines can lead to significant simulation speed gains when compared to a typical PC computer, especially when operations can be efficiently parallelized on the board. The textbook example of a free acceleration followed by a step load change...
The purpose of this study is to implement a new analytical method (DTM-Pade technique which is a combination of the differential transform method and the Pade approximant) for solving magnetohydrodynamic boundary-layer flow. We will show that the DTM solutions only valid for small values of independent variable, therefore the DTM not applicable for solving MHD boundary-layer equations. Numerical comparisons...
In order to detect a weak signal under the condition of intensive noise, the signal and additive white noise were used as input of a bistable stochastic resonance (SR) system. The noise intensity and the system parameters were adjusted adaptively with particle swarm optimization (PSO) algorithm by examining the SR effect on output signal-to-noise ratio (SNR). An improved numerical solution for a bistable...
By modeling and simulating, analyzed vibration characteristics of a kind of 3-degree-of-freedom of vibro impact system with periodic excitation which include clearance, the interface where the gap closed was chosen as a Poincare section, using Runge-Kutta method proved that this model has a chaotic situation.The research of the system's bifurcation and chaos provided a kind of reference for engineering...
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