Method
Order
Finite-Difference Form
Purely Advective
Upwind (FTUS)
Centered (FTCS)
Lax-Friedrichs
Lax-Wendroff
Beam-Warming
Purely Diffusive
Leapfrog
Crank-Nicholson
Dufort-Frankel
| Method | Order | Finite-Difference Form |
| Purely Advective | ||
| Upwind (FTUS) |
|
|
| Centered (FTCS) |
|
|
| Lax-Friedrichs |
|
|
| Lax-Wendroff |
|
|
| Beam-Warming |
|
|
| Purely Diffusive | ||
| Leapfrog |
|
|
| Crank-Nicholson |
|
|
| Dufort-Frankel |
|
|