Fourth-Order Runge-Kutta Method
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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An Algorithm to Optimize the Calculation of the Fourth Order Runge Kutta Method Applied to the Numerical Integration of Kinetics Coupled Differential Equations
... the fourth order Runge-Kutta method as applied to the solution of Adirovitch model Equations (1a) and ...RK method is stable, we identified a disconcerting property that emerges ...
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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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Semiconductor Quantum Dot Lasers as Pulse Sources for High Bit Rate Data Transmission
... Abstract—Multi Populations Rate Equations (MPREs) model is used to analyze the dynamic characteristics of the InAs/InP (113) B self assembled quantum dot laser. The resulting system of differentaial equations is solved ...
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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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Numerical Solution of First Order Linear Differential Equations in Fuzzy Environment by Modified Runge-Kutta- Method and Runga- Kutta-Merson-Method under generalized H-differentiability and its Application in Industry
... by Runge Kutta Method of Order three is developed by Duraisamy and Usha ...for Fourth order Runge Kutta Method with Higher Order Derivative ...
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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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Exponentially Fitted 2 Step Simpson’s Method for Oscillatory/Periodic Problems
... classical fourth-order Taylor method, explicit four stage fourth-order Runge-Kutta method and the classical 2-step Simpson ...
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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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Investigation of Selected Versions of Fourth Order Runge-Kutta Algorithms as Simulation Tools for Harmonically Excited Nonlinear Pendulum
... of fourth order Runge-Kutta schemes with the step doubling adaptive time step technique, one of which is the classical fourth-order ...classical Runge-Kutta ...
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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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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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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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Numerical Solution of Linear Volterra Integro-Differential Equation using Runge-Kutta-Fehlberg Method
... the fourth and fifth order accuracy obtained with this ...used Runge-Kutta-Fehlberg methods and numerical quadrature rules, such that trapezoidal rule, the 3-point rule is known as Simpson’s ...
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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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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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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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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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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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Performance Analysis and Maintenance Scheduling of a System using Runge-Kutta Method
... using Runge-Kutta fourth order method with the help of MATLAB and the effects of failure and repair rates of various combinations of different subsystems on the butter production system ...
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