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Showing 1 to 20 of 42 for “"Runge-Kutta Method"”.
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Stability analysis of the 4th order Runge Kutta method in application to colloidal particle interactions
… are caused by these external forces. Numerical methods can be used to generate particle positions and obtain a better understanding of particle interactions under different conditions. The aim of this study was to obtain a better understanding of the stability limits of using the 4th order Runge …
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The analysis and implementation of exponential almost Runge-Kutta methods for semilinear problems
… the multi-step Exponential Time Differencing Methods and the multi-stage Exponential Runge-Kutta Methods. A broader framework of Exponential General Linear Methods builds on these two families. We extend the classical Almost Runge-Kutta Method family, of multi-stage multi-value schemes, into …
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Carrier excitations and nonlinear optical effects in semiconductor quantum wells
… wave approximation and solved by the fifth-order Runge-Kutta method.
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Problemas de instabilidade dinâmica na utilização de motor passo a passo em plotter
… a stepping motor. Digital simulation using the Runge-Kutta method was performed. The effect of pulse frequency on the dynamic behaviour of the system w.as investigated. Theoretical predictions were compared with experimental measurements, the agreement being found to be satisfactory. The …
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Analysis and implementation of a positivity preserving numerical method for an HIV model
… of a positivity preserving numerical method for a vaccination model for the transmission dynamics of two HIVsubtypesnin a given community. The continuous model is analyzed for stability and equilibria. The qualitative information thus obtained is used while designing numerical …
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Analysis of substrate limited fermentation in a dispersed plug-flow reactor
… compared with those obtained using a marching Runge-Kutta method.
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Numerical study of two-dimensional smart structures
… use a new numerical code, based upon a mixed FEM-Runge-Kutta method, for the analysis and the design of plane 2-dimensional smart structures. We applied the developed code to the study of arbitrarily shaped piezo-electromechanical (PEM) plates. This code is based on a weak formulation of their …
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Development of Discontinuous Galerkin Method for 1-D Inviscid Burgers Equation
… work is to apply the discontinuous Galerkin method to a classical partial differential equation to investigate the properties of the numerical solution and compare the numerical solution to the analytical solution by using discontinuous Galerkin method. This scheme is applied to 1-D …
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Comparison of Second Order Conformal Symplectic Schemes with Linear Stability Analysis
Numerical methods for solving linearly damped Hamiltonian ordinary differential equations are analyzed and compared. The methods are constructed from the well-known Störmer-Verlet and implicit midpoint methods. The structure preservation properties of each method are shown analytically and …
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Fast finite element methods for focused ultrasound applications
… solver is based on the high-order finite element method and the explicit Runge-Kutta method. It is well known that low-order finite element methods suffer from pollution errors, especially for high-frequency problems. However, it is demonstrated that with high-order finite elements, the pollution …
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Volterra Systems with Realizable Kernels
We compare an internal state method and a direct Runge-Kutta method for solving Volterra integro-differential equations and Volterra delay differential equations. The internal state method requires the kernel of the Volterra integral to be realizable as an impulse response function. We discover …
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A numerical study of wave propagation in poroelastic media by use of the localized differential quadrature (LDQ) method
… and the localized differential quadrature (LDQ) method are introduced. Using this LDQ method, the governing equations can be solved together with fourth-order Runge-Kutta method. Second, wave propagations in one-dimensional poroelastic media are investigated. The numerical results are compared …
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Método dos elementos de contorno aplicado a propagação de ondas gravitacionais não lineares
This work presents a boundary element method formulation in two-dimensions, to be applied either to moving boundary problems, or to problems with non moving boundaries. Isoparametric quadratic elements have been implemented to discretize the boudary. The procedure developed for non moving boundary …
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Effects of Interfaces and Interactions between Multiphase Flow and Solid on Engineering Structures
… A new approach based on the Periodicity Ratio method is developed in this study so the characteristics of a nonlinear system, subjected to non-periodic excitations, can be diagnosed. Vortex control of fluid flow over circular cylinders with detached plates are conducted numerically to develop a …
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Wave energy converter design via a time-domain Rankine panel method
… of a time-domain three dimensional Rankine panel method coupled, in the time integration, with a MATLAB algorithm which solves for the equations of the gyroscope and Power Take-Off (PTO). The former acts as a force block, calculating the forces due to the waves on the hull, which is then sent to …
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Dynamics of an unbalanced ring spinning on a rough horizontal surface
… with the use of the seventh-eighth order Runge-Kutta method, are in very good qualitative agreement to those observed during an experiment performed with the use of a high-speed video camera.
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Nonlinear Solutions to a Two-Layer Quasi-Geostrophic Model of the Gulf Stream
… <p>The linear solution is obtained by methods of normal mode and Fourier-Laplace transforms. It is found that the set corresponding to the continuous spectrum is null and the set corresponding to the discrete spectrum is complete.</p> <p>The nonlinear solution is expanded in terms of …
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Estudo experimental de um termo-oscilador para bombeamento de líquidos
… of the liquid level as a function of time by Runge-Kutta method. A comparison of the experimental and theoretical results was made. For the prototype with geometrj~unfavorable to the feedback of energy in the oscillations, the frequency and amplitude were similar. For the prototype with a …
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Numerical Study of Convective Heat Transfer in Flat Tube Heat Exchangers Operating in Self-Sustained Oscillatory Flow Regimes
… was based upon a Control Volume Finite Element Method (CVFEM). Temporal discretization was based upon a semi-implicit Runge-Kutta method. Double Cyclic conditions were used to limit the numerical domains to one repeating geometric module. Nine geometric domains representing flat tube heat …
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Computer aided analysis of electric circuits using state-variable techniques.
… This can be done using either matrix or search methods. Degenerate variables can then be eliminated using Pottle's method or the Auxiliary Trees method, which is based on Bashkow's work. The solution of the state equations can be accomplished using: 1) an Adams-Bashforth-Moulton predictor …
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