Content deleted Content added
Bug remains (talk | contribs) No edit summary |
Ira Leviton (talk | contribs) m Fixed a spelling error. |
||
Line 44:
In the vast majority of cases, the equation to be solved when using an implicit scheme is much more complicated than a quadratic equation, and no analytical solution exists. Then one uses [[root-finding algorithm]]s, such as [[Newton's method]], to find the numerical solution.
;
[[File:Comparison_between_Foward-Backward-Euler_and_Foward-Euler.png|thumb|400px|The result of applying the both, the Forward Euler method as well as the Forward-Backward Euler method <math>a = 5</math> and <math>n = 30</math>.]]
In order to apply the IMEX-scheme, consider a slightly different differential equation:
| |||