Runge-Kutta fourth order method
SERIES SOLUTION OF EPIDEMIC MODEL
... Table 1 gives the results from the solution of Epidemic Model and illustrate the absolute errors obtained by using Runge Kutta fourth order method and the [5/5] Pad´ e approximate of ...
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Performance Analysis and Maintenance Scheduling of a System using Runge-Kutta Method
... To examine the effect of failure and repair rates on the availability in transient state, the system of differential eqs. (14) to (25) with initial conditions has been solved numerically using Runge-Kutta ...
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The Differential Quadrature Solution of Reaction Diffusion Equation Using Explicit and Implicit Numerical Schemes
... the Runge-Kutta fourth order method and the implicit Euler method with perturbation method of the second degree, are applied to solve the nonlinear thermal wave in one and ...
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An Algorithm to Optimize the Calculation of the Fourth Order Runge Kutta Method Applied to the Numerical Integration of Kinetics Coupled Differential Equations
... the Runge-Kutta ...the Runge-Kutta Fourth Order method may lead to incorrect and ramified results if the numbers of steps to achieve the solutions is not “large ...the ...
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A weighted fourth order Runge-Kutta method based on contra-harmonic mean
... weighted fourth order Runge-Kutta method based on contra-harmonic mean to solve ordinary differential ...this method are ...proposed method is suitable for solving the ...
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Investigation of Selected Versions of Fourth Order Runge-Kutta Algorithms as Simulation Tools for Harmonically Excited Nonlinear Pendulum
... and Runge- Kutta ...the Runge- Kutta method is more accurate and also the approximate solution converged faster to the exact solution when compared to the Euler ...
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Semiconductor Quantum Dot Lasers as Pulse Sources for High Bit Rate Data Transmission
... In this paper, first, we describe QD laser analyzing theory based on the multi population rate equations model and consider the homogeneous and inhomogeneous broadening of the optical gain for solving InAs/InP ...
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Differential transform method for a a nonlinear system of differential equations arising in HIV infection of CD4+T cell
... and fourth order Runge- Kutta methods, ...The fourth part of Figure 1 and Tables 4,5,6 show that as the time passes, the concentration of number of healthy cells which is denoted by T ...
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A Fourth-order Singly Diagonally Implicit Runge-Kutta Method for Solving One-dimensional Burgers’ Equation
... a fourth-order compact finite difference scheme at inner and boundary nodes is derived, thus forming a stiff ...a fourth-order A-stable singly diagonally implicit Runge-Kutta ...
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Embedded explicit two step Runge Kutta Nyström for solving special second order IVPs
... Two-step Runge-Kutta-Nystr¨ om (TSRKN) method embedded into fourth-order three-stage TSRKN method is developed to solve special second-order initial value problems (IVPs) ...
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Solving ordinary differential equations by thedormand prince method
... first order ordinary differential equations while the Example 2 emphasized on second order ordinary differential ...analytical method, Fifth Order Dormand Prince method (A), ...
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Numerical precision of the solution to the running-coupling Balitsky-Kovchegov equation
... first order Runge-Kutta method to the second order up to Y = 10 and less than ...second order to ...the Runge-Kutta method and the uncertainty rises with ...
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COMPARATIVE NEUROSPORA BIORHYTHM ON LIGHT VS LIGHT WITH FRQ PROTEIN
... satisfy limit cycle state and stable state as follow in Section 3. These values can be verified by using the fourth-order Runge-Kutta method and solution curves that show in previous ...
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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 ...th Order Hybrid Runge-Kutta method ...
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Nonstandard explicit third-order Runge-Kutta method with positivity property
... RK3 method with Bergers’ equation and 2D advection test equation, exprimentally ...RK3 method, since as mentioned in fourth section we have numerical evidences show that this method is free of ...
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On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge Kutta Method*
... stage method based on the harmonic mean and a multi-derivative method using the usual arithmetic mean ...a fourth-order method based on the harmonic mean while Yaacob and Sanugi [7] ...
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Numerical Solution of Linear Volterra Integro-Differential Equation using Runge-Kutta-Fehlberg Method
... involves adapting Runge-Kutta methods. Thus, we will require to approximate integral terms in (2) at selected values of t in u ~ ( t n ) . Equation (1) can be solved using various methods. In this paper we ...
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Numerical modeling for nonlinear biochemical reaction networks
... classical fourth order Runge-Kutta method (RK4), but we are interested in this work to solve the system of coupled nonlinear ODEs (7) and (8) by using ...
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A Method for Solving Fuzzy Differential Equations using fourth order Runge-kutta Embedded Heronian Means
... the fourth order runge-kutta method for embedded heronian mean has been applied for finding the numerical solution of first order fuzzy differential equation using trapezoidal ...
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BRAIN COMPUTER INTERFACE BASED ROBOT DESIGN
... The Self Excitated Induction Generator (SEIG) is very popular now as a generated alternating power. In this research the induction machine is approached in the physically and mathematically approximated which then ...
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