This routine numerically integrates an ordinary differential equation using a fourth order Runge-Kutta method method.

The input parameters are given below:

• X is the starting value of the independent variable X.
• X1 is the point at which a solution is desired.
• Y is the initial value of the dependent variable Y.
• N is the number of steps to take.

The routine returns the value of the dependent variable Y at the desired point X1.

The user supplies the routine F, which returns the derivative y' at (x,y).

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C#

C# 1.0 source.
rungekutta.csharp.zip - Fourth order Runge-Kutta method

C++

C++ source.
rungekutta.cpp.zip - Fourth order Runge-Kutta method
ablas.zip - optimized basic linear algebra subroutines with SSE2 support (for C++ sources only)

Delphi

Delphi source.
Can be compiled under FPC (in Delphi compatibility mode).
rungekutta.delphi.zip - Fourth order Runge-Kutta method

Visual Basic 6

Visual Basic 6 source.
rungekutta.vb6.zip - Fourth order Runge-Kutta method

Zonnon ^beta

Zonnon source.
Zonnon is an experimental language developed at ETH Zurich.
See www.zonnon.ethz.ch for more information.
rungekutta.zonnon.zip - Fourth order Runge-Kutta method