73393
Description
Mind Map by fay_johnston, updated more than 1 year ago
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Created by fay_johnston
over 11 years ago
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Explicit Methods
- Forward Differencing
- Use current derivative to move to next timestep
- 1st order accuracy in time
- 2nd order accuracy in space
- For stability, /Unew/</U/
- Use current derivative to move to next timestep
- Central Differencing
- Symmetrical about (xi, tn)
- Symmetrical about (xi, tn)
- Leap Frog
- Uses a central differencing approximation
- Unconditionally unstable
- 2nd order accuracy
- Uses a central differencing approximation
- Du Fort Frankel
- Stable variation
of the Leap Frog
method
- Uses an average of previous and next values
- Second order accuracy in time and space
- Oscillatory at large timesteps
- Stable variation
of the Leap Frog
method
- Each new value can be
calculated directly without
matrix algebra or iteration
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