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Permission to use, copy, and distribute this software and It’s documentation for any non commercial purpose is hereby granted without fee, provided: THE SOFTWARE IS PROVIDED "AS-IS" AND WITHOUT WARRANTY OF ANY KIND, EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. IN NO EVENT SHALL Henrik Vestermark, BE LIABLE FOR ANY SPECIAL, INCIDENTAL, INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER OR NOT ADVISED OF THE POSSIBILITY OF DAMAGE, AND ON ANY THEORY OF LIABILITY, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.


Ordinary Differential Equations: New Tool

Ordinary Differential Equation vs. 1.1

y'=f(x,y)=
Initial y(x0)= Range x=[,] Intervals steps= Verbose
     
Explicit Methods
Euler Runge Kutta's 2nd Runge Kutta's 3rd Runge Kutta's 4th
Euler 1707-1783
Embedded Methods
Heun-Euler Bogacki-Shampine Fehlberg Cash-Karp
Dormand-Prince
   
  • Graphing
  • Help
  • Method Used

Graphing

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Help

Explanation: Enter the ordinary differential equation that needs to be solved in the field y'=f(x,y). The usual math function can be used: +.-.*,/,(,), abs(), acos(), asin(), atan(), atan2(), cos(), exp(), log(), pow(), sin(), sqrt(), tan(). Note for something like y^3 used the pow(y,3) notation.
Type in the interval range in x= and set the initial conditions in Initial y(x0). Finally select how many intervals that should be subidvided in the x interval specified. Select one or more methods you like to use or compare solving the ordinary differential. Checkmark the Verbose print out details for each interval step.

The tab (Graphing) graph the equations in the interval given. The Test button setup a default differential (for testing only).
Email: hve@hvks.com if you have any questions.
This version has been tested with both IE, Chrome, FireFox & Safari browser.

Method used

The different methods are implemented using a Butchers tableau for each methods.
For more informations see http://en.wikipedia.org/wiki/Numerical_ordinary_differential_equations
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Corrections:
2011-Nov-25 vs 1.1 Initial release