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3 cards from this section. Quick, good the night before a test.
What is the primary advantage of Heun’s method over Euler’s method?
Think about the number of slopes used in both methods.
How many function evaluations are required for one step in Heun’s method?
Consider the predictor and corrector steps.
Which of the following best describes Heun's method?
Recall the definitions of different order methods.
True or False: Heun's method requires only one evaluation of the function per step.
Think about the predictor and corrector steps in Heun's method.
Using the ODE dy/dx = y^2 - x at y(0) = 0, apply Heun's method with h = 0.1 to approximate y(0.2).
Repeat the steps twice in the same way as described in the section.
When given an initial value problem y' = e^(-t) - y with an initial condition y(0) = 1, use Heun’s method, h = 0.5, to approximate y at t = 0.5.
Remember to calculate e^(-t).
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