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Fourth-Order Runge-Kutta

A Method for Solving Fuzzy Differential Equations using fourth order Runge-kutta Embedded Heronian Means

A Method for Solving Fuzzy Differential Equations using fourth order Runge-kutta Embedded Heronian Means

... uncertainty.First order linear fuzzy differential equations are one of the simplest fuzzy differential equation, which appears in many ...method. RungeKutta methods have also been studied by ...

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Investigation of Selected Versions of Fourth Order Runge-Kutta Algorithms as Simulation Tools for Harmonically Excited Nonlinear Pendulum

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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A weighted fourth order Runge-Kutta method based on contra-harmonic mean

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 ...problem; Runge-Kutta method; Contra-harmonic ...

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A comparative study fourth order runge KUTTA TVD scheme and fluent software case of inlet flow problems

A comparative study fourth order runge KUTTA TVD scheme and fluent software case of inlet flow problems

... presents on the use of the Fourth Order Runge Kutta – Harten Yee TVD scheme [1, 2] for the flow analysis inside inlet. The flow is assumed as an inviscid quasi two dimensional compressible ...

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Investigation of Selected Versions of Fourth Order Runge-Kutta Algorithms as Simulation Tools for Harmonically Excited Duffing Oscillator

Investigation of Selected Versions of Fourth Order Runge-Kutta Algorithms as Simulation Tools for Harmonically Excited Duffing Oscillator

... selected fourth order Runge-Kutta ...of fourth order Runge-Kutta (RK_1, RK_2, RK_3 …, RK_55) methods; inclusive of the classical fourth order RK ...

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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

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 ...the Runge-Kutta method in order to guar- antee the reliability of ...

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The aerodynamics analysis for the flow past through an inlet model by 
		use of a Fourth Order Runge Kutta  Davis Yee TVD scheme

The aerodynamics analysis for the flow past through an inlet model by use of a Fourth Order Runge Kutta Davis Yee TVD scheme

... by Fourth order RungeKutta scheme, then their result updated through the use of Davis – Yee TVD ...The Fourth Order Fourth Order RungeKutta- Davis Yee TVD scheme represented a ...

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Semiconductor Quantum Dot Lasers as Pulse Sources for High Bit Rate Data Transmission

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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Vol 4, No 11 (2013)

Vol 4, No 11 (2013)

... to Fourth Order Runge-Kutta method and Runge-Kutta Fehlberg method, STHW technique gives accurate results from the Table 1, Table ...than Runge-Kutta method of ...

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Differential transform method for a a nonlinear system of differential equations arising in HIV infection of CD4+T cell

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 Comparative Study on Fourth Order and Butcher’s Fifth Order Runge-Kutta Methods with Third Order Initial Value Problem (IVP)

A Comparative Study on Fourth Order and Butcher’s Fifth Order Runge-Kutta Methods with Third Order Initial Value Problem (IVP)

... fifth order Runge-Kutta (RK5) and fourth order Runge-Kutta (RK4) methods have been employed to solve the Initial Value Problems (IVP) involving third order Ordinary ...

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A New 4th Order Hybrid Runge-Kutta Methods for Solving Initial Value Problems (IVPs)

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 based on ...

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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

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 Approximations is ...

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COMPARATIVE  NEUROSPORA BIORHYTHM ON LIGHT VS LIGHT WITH FRQ PROTEIN

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 section. ...

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Second order three stage stochastic Runge Kutta method for nuclear 
		reactors

Second order three stage stochastic Runge Kutta method for nuclear reactors

... of fourth order Runge- Kutta it can be observed in Tables 2-3 that the proposed method has satisfactory approximations for calculating mean ...

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Solving initial value problem using Runge Kutta 6th 
		order method

Solving initial value problem using Runge Kutta 6th order method

... the order conditions , thus the calculation process were performed using Mathematica program, this system of nonlinear algebraic equations has many solutions, therefore we must guess the integration step size ...

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Exponentially Fitted 2 Step Simpson’s Method for Oscillatory/Periodic Problems

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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Numerical Solution of Fuzzy Differential Equation by Sixth Order Runge-Kutta Method

Numerical Solution of Fuzzy Differential Equation by Sixth Order Runge-Kutta Method

... y 1 (t) = y(t), t ∈ [0, 1] with y(0)= (0.75 + 0.25r, 1.2-0.2r) where 0 ≤ r ≤ 1 Solution: The exact solution is given by y ( ) ( ) t : r = y t : r e t and y ( ) ( ) t : r = y t : r e t then at t = 1,y(1 : r) = ...

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Numerical modeling for nonlinear biochemical reaction networks

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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Nanofluid under Uniform Transverse Magnetic Field with a Chemical Reaction past a Stretching Sheet

Nanofluid under Uniform Transverse Magnetic Field with a Chemical Reaction past a Stretching Sheet

... Abstract — An analysis is carried out to examine the effects of the steady flow of an electrically conducting viscous incompressible nanofluid in the existence of a uniform transverse magnetic field with chemical ...

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