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2 cards from this section. Quick, good the night before a test.
What is Heun’s Method primarily used for?
Think about what kind of mathematical problems involve changes over time.
Describe the predictor step in Heun's Method.
What method do we use to predict the next point?
What advantage does Heun’s Method have over Euler's method?
Think about the differences in how they calculate the next point.
True or False: Heun’s Method only requires one calculation of the function per step.
Consider the steps involved when using this method.
Given the differential equation dy/dx = 2x + y with y(0) = 1, use Heun's Method to estimate y(0.2) with a step size of 0.1.
Make sure you compute each step carefully, noting the two evaluations needed.
Evaluate the long-term behavior of the solution to dy/dx = -y with y(0) = 1 using Heun's Method at x=1. How does it behave?
Solve step-by-step and look for patterns in the results over multiple iterations.
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