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dopri45_solver [2015/08/13 15:56]
erik created
dopri45_solver [2015/08/13 15:00] (current)
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 Applicable for **non-stiff** problems of **medium** accuracy. Applicable for **non-stiff** problems of **medium** accuracy.
- 
-The [[Butcher tableau]] for the adaptive Dormand–Prince method is: 
- 
-<table class="​Butcher_tableau">​ 
-<tr> 
-<td width="​20px"></​td>​ 
-<td class="​right">​0</​td>​ 
-</tr> 
-<tr> 
-<​td></​td>​ 
-<td class="​right">​1/​5</​td>​ 
-<​td>​1/​5</​td>​ 
-</tr> 
-<tr> 
-<​td></​td>​ 
-<td class="​right">​3/​10</​td>​ 
-<​td>​3/​40</​td>​ 
-<​td>​9/​40</​td>​ 
-</tr> 
-<tr> 
-<​td></​td>​ 
-<td class="​right">​4/​5</​td>​ 
-<​td>​44/​45</​td>​ 
-<​td>​-56/​15</​td>​ 
-<​td>​32/​9</​td>​ 
-</tr> 
-<tr> 
-<​td></​td>​ 
-<td class="​right">​8/​9</​td>​ 
-<​td>​19372/​6561</​td>​ 
-<​td>​-25360/​2187</​td>​ 
-<​td>​64448/​6561</​td>​ 
-<​td>​-212/​729</​td>​ 
-</tr> 
-<tr> 
-<​td></​td>​ 
-<td class="​right">​1</​td>​ 
-<​td>​9017/​3168</​td>​ 
-<​td>​-355/​33</​td>​ 
-<​td>​46732/​5247</​td>​ 
-<​td>​49/​176</​td>​ 
-<​td>​-5103/​18656</​td>​ 
-</tr> 
-<tr> 
-<​td></​td>​ 
-<td class="​bottomright">​1</​td>​ 
-<td class="​bottom">​35/​384</​td>​ 
-<td class="​bottom">​0</​td>​ 
-<td class="​bottom">​500/​1113</​td>​ 
-<td class="​bottom">​125/​192</​td>​ 
-<td class="​bottom">​-2187/​6784</​td>​ 
-<td class="​bottom">​11/​84</​td>​ 
-<td class="​bottom"></​td>​ 
-</tr> 
-<tr> 
-<​td></​td>​ 
-<td style="​border-right:​1px solid;"></​td>​ 
-<​td>​5179/​57600</​td>​ 
-<​td>​0</​td>​ 
-<​td>​7571/​16695</​td>​ 
-<​td>​393/​640</​td>​ 
-<​td>​-92097/​339200</​td>​ 
-<​td>​187/​2100</​td>​ 
-<​td>​1/​40</​td>​ 
-</tr> 
-<tr> 
-<​td></​td>​ 
-<td class="​right"></​td>​ 
-<​td>​35/​384</​td>​ 
-<​td>​0</​td>​ 
-<​td>​500/​1113</​td>​ 
-<​td>​125/​192</​td>​ 
-<​td>​-2187/​6784</​td>​ 
-<​td>​11/​84</​td>​ 
-<​td>​0</​td>​ 
-</tr> 
-</​table>​ 
  
 Applicable [[Solver settings|solver settings]]: Applicable [[Solver settings|solver settings]]:
dopri45_solver.txt · Last modified: 2015/08/13 15:00 (external edit)