5.1 Solution methods (cont'd)
|
| Implicit
| Explicit
|
Solve system completely
at each time step?
| Yes
| No
|
| Speed/time step
| Slow
| Fast
|
| Stability
| Unconditional
| Conditional
|
| Step size
| Large
| Small
|
- Backward difference, implicit:
solve system at each time step: time consuming but
stable, so can use relatively large time steps.
- Central difference (Crank-Nicolson)
- Forward difference, explicit:
no need to solve completely at each time step, but requires very small
steps.
R. Funnell
Last modified: Sun, 2002 Jan 27 17:15:20
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