Runge-Kutta 4 (RK4) Method
A New 4th Order Hybrid Runge-Kutta Methods for Solving Initial Value Problems (IVPs)
... of Runge-Kutta methods based on averages other than the conventional Arithmetic Mean for the numerical solution of Ordinary differential ...new 4 th Order Hybrid Runge-Kutta ...
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Convergence of an implicit runge kutta discontinuous Galerkin method using smooth limiters
... into Runge-Kua time discretization ...Chapter 4. Since the limiter is originating from a finite volume method we will show how the limiter is applied in the DG method in both the one di- ...
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Numerical counterexamples of Lorenz system in implicit time scheme
... 3, 4, 5, 6, 7, 8]; for computing the numerical methods, the explicit time schemes are widely used; and in numerical methods, Runge-Kutta method is the widely ...
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Transient Analysis Of Electrical Circuits Using Runge-Kutta Method
... analytical method, Cauchy-Heaviside (C-H) operational method, Fourier Transformation method and Laplace Transformation ...operational method is not as systematic as Laplace Transformation ...
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Nonstandard explicit third-order Runge-Kutta method with positivity property
... a central component in applied mathematics and their numerical simulations are fundamental im- portance in gaining the correct qualitative and quantitative information on the systems. Numerical methods based on finite ...
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Convergence of an Exponential Runge–Kutta Method for Non-smooth Initial Data
... exponential Runge-Kutta methods of collocation type have been constructed by Hochbruck & Ostermann [9] and their convergence properties were analyzed for linear and semi-linear parabolic problems ...
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Study on Direct Numerical Simulation of Two dimensional Turbulence
... function method for 2D incompressible flow by direct numerical simulation is uesd with initial and boundary conditions of ...order Runge Kutta-Crank Nicholson method, and the space ...
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Preconditioning of implicit Runge-Kutta methods
... Various iteration schemes to solve the nonlinear equations of IRK methods have been suggested [9, 10, 15, 16, 17, 18, 21, 33]. The schemes of [9, 21, 33] can be interpreted as the direct application of modified Newton ...
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Vol 60, No 4 (2017)
... with Runge-Kutta method integration for its differential equation of horizontal displacement, and its stability in Matlab programming environment for the m ...
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Axisymmetric Motion of a Proposed Generalized Non-Newtonian Fluid Model with Shear-dependent Viscoelastic Effects
... Fig. 4 we can observe the behavior of the unsteady volume flow rate solution obtained using a Runge-Kutta method, with constant mean pressure gradient, for generalized third-grade fluid (47) ...
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A third order Runge-Kutta method based on a convex combination of Lehmer means
... In this article we present the RK3 method based on a convex combination of the Lehmer means with the value p = 0 and p = 3 (RK3L). In section 2, the derivation of RK3L is pre- sented and local truncation error as ...
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A weighted fourth order Runge-Kutta method based on contra-harmonic mean
... order Runge-Kutta method based on arithmetic ...[1, 4, 7] for ...order Runge-Kutta method based on contra-harmonic ...
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Performance Analysis and Maintenance Scheduling of a System using Runge-Kutta Method
... gum production system with an attempt to improve its availability. [4] computed the reliability of poly-tube manufacturing plant using supplementary variable technique. [5] derived several important reliability ...
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Second order three stage stochastic Runge Kutta method for nuclear reactors
... Point kinetic equations are a system of nonlinear deterministic differential equations, however, the operability of the real dynamic process of a nuclear reactor is stochastic in nature [2-3]. The density of neutrons and ...
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Singly Diagonally Implicit Runge-Kutta Method For The Solution Of The Linear And Non-Linear
... form has two control points and two control tangents for each polynomial.They are simple to calculate, in term of time required to determine the interpolant and to evaluate it, but at the same time they are two powerful. ...
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Solving initial value problem using Runge Kutta 6th order method
... this method needs the derivation and solution of many nonlinear algebraic system of equations called the order conditions , thus the calculation process were performed using Mathematica program, this system of ...
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Numerical Solution of Fuzzy Differential Equation by Sixth Order Runge-Kutta Method
... Euler method and by Abbasbandy and Allahviranloo [2] by Taylor ...method. Runge-Kutta methods have also been studied by authors [3, ...Section 4 we propose the sixth order ...
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Vol 3, No 7 (2012)
... using Runge Kutta method and Euler method and also they have considered the numerical solution of hybrid fuzzy differential equations by using the characterization theorem for the improved ...
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Convergence of Parareal for the Navier-Stokes Equations Depending on the Reynolds Number
... Section 4, the stability analysis is done for an implicit-explicit Euler method for G and an explicit Runge-Kutta-3 method for F with five time steps of F per two time steps of ...
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The effect of numerical integration stiffness in ship motio simulation.
... implicit Runge- Kutta methods as indicated in Figures 1, 2 and ...Rentrop method as shown in Figure 3. Figure 4 showed that the stiffness induced a significant changing of time consumption and ...
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