Runge-Kutta metod 4-th Order Approximation

[YuK]

Hi All.

http://en.wikipedia.org/wiki/Runge-Kutta

We know Runge-Kutta metod 4-th Order Approximation has 4-th Order Approximation. How to view this by Mathkad?

Thanks.
YuK

[ValeryOchkov]

Euler & Runge-Kutta method 4-th Order on MAS:
http://twtmas.mpei.ac.ru/mas/worksheets/Euler.mcd
Val
http://twt.mpei.ac.ru/ochkov/v_ochkov.htm

[AlvaroDíaz]

On 5/5/2009 8:23:13 AM, YuK wrote:
>We know Runge-Kutta metod 4-th
>Order Approximation has 4-th
>Order Approximation. How to
>view this by Mathkad?

Is 4th global, but that's only because is 5th local. You can see that with the 'symbolic not found' for a serie of order 5 in your setup.

To evaluate the local error, you starting acotating the value e = |y_n+1-y_n|. To do that, assume at first that y_n have not error! (which is absolutely false).

Regards. Alvaro.

[ptc-1368288]

On 5/5/2009 8:23:13 AM, YuK wrote:
>Hi All.
>
>http://en.wikipedia.org/wiki/R
>unge-Kutta
>
>We know Runge-Kutta metod 4-th
>Order Approximation has 4-th
>Order Approximation. How to
>view this by Mathkad?
>
>Thanks.
>YuK
_____________________________

Not sure what you are looking for, YuK
Here is also Fehlberg 45.

jmG