This routine numerically integrates an ordinary differential equation using a modified forward Euler's method.

The input parameters are given below:

• X is a starting value of the independent variable X.
• X1 is a point at which a solution is desired.
• Y is an initial value of the dependent variable Y.
• N is a 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.
eulerm.csharp.zip - Modified Euler's method

C++

C++ source.
eulerm.cpp.zip - Modified Euler's 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).
eulerm.delphi.zip - Modified Euler's method

Visual Basic 6

Visual Basic 6 source.
eulerm.vb6.zip - Modified Euler's method

Zonnon ^beta

Zonnon source.
Zonnon is an experimental language developed at ETH Zurich.
See www.zonnon.ethz.ch for more information.
eulerm.zonnon.zip - Modified Euler's method