Explicit Runge-Kutta of a Differential Equation

HakikiCanakkaleli · September 22, 2014, 09:01

Hi,

== 1 ==
I would like to solve a differential equation with explicit Runge-Kutta method.

== 2 ==
The equation, in which

will be found, is:

$\frac{\partial k}{\partial t} + \frac{\partial k}{\partial x} = - A k + B$

== 3 ==
Is it possible to show me the main steps of the application of the Runge-Kutta method to this differential equation?

Many thanks in advance for any help.

Henning86 · September 25, 2014, 06:18

if you search for rhocentralFoam runge kutta you ll find a solver rhoCentralFoamRK4

It is an example of an explicit Runge Kutta solver.

September 22, 2014, 09:01	Explicit Runge-Kutta of a Differential Equation	#1
HakikiCanakkaleli Senior Member Canakkale Dardanelspor Join Date: Aug 2012 Posts: 135 Rep Power: 13	Hi, == 1 == I would like to solve a differential equation with explicit Runge-Kutta method. == 2 == The equation, in which will be found, is: $\frac{\partial k}{\partial t} + \frac{\partial k}{\partial x} = - A k + B$ == 3 == Is it possible to show me the main steps of the application of the Runge-Kutta method to this differential equation? Many thanks in advance for any help.

September 25, 2014, 06:18		#2
Henning86 Member Join Date: Nov 2012 Posts: 83 Rep Power: 13	if you search for rhocentralFoam runge kutta you ll find a solver rhoCentralFoamRK4 It is an example of an explicit Runge Kutta solver. Last edited by Henning86; September 25, 2014 at 10:24.

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