Revision as of 00:22, 16 November 2005

Fourth order Runge-Kutta method

The fourth order Runge-Kutta method could be summarized as:

$\dot y = f\left( {x,y} \right)$

$k_1 = hf\left( {x_n ,y_n } \right)$

$k_2 = hf\left( {x_n + {h \over 2},y_n + {{k_1 } \over 2}} \right)$

$k_3 = hf\left( {x_n + {h \over 2},y_n + {{k_2 } \over 2}} \right)$

$k_4 = hf\left( {x_n + h,y_n + k_3 } \right)$

$y_{n + 1} = y_n + {{k_1 } \over 6} + {{k_2 } \over 3} + {{k_3 } \over 3} + {{k_4 } \over 6}$

This article is a stub, a short article which needs to be improved. You can help by expanding it.

Revision as of 00:56, 15 November 2005 (view source) Zxaar (Talk \| contribs) ← Older edit		Revision as of 00:22, 16 November 2005 (view source) Jola (Talk \| contribs) m (fixed a typo and a heading case) Newer edit →
Line 1:		Line 1:
-	= ~~Forth~~ order Runge-Kutta ~~Method~~ =	+	= Fourth order Runge-Kutta method =

	The fourth order Runge-Kutta method could be summarized as:		The fourth order Runge-Kutta method could be summarized as: