Practice Geometric Interpretation (11.1.6) - Heun’s Method - Mathematics - iii (Differential Calculus)

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6 sample questions

Question 1.
Define Heun's Method.
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Think about its order and purpose.
Question 2.
What does a predictor-corrector approach signify?
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Consider how predictions can be adjusted.
3Question 3.
What is the primary advantage of Heun’s Method over Euler's Method?
- More evaluations needed
- Higher accuracy
- Lower stability
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Consider how error might change with different methods.
4Question 4.
Heun’s Method is classified as a first-order method.
- True
- False
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Reflect on definitions of numerical method classifications.
Question 5.
Apply Heun’s Method to solve the ODE dy/dx = -2y with y(0) = 1 at x = 0.2 with step size 0.1.
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Remember the steps of Heun's method and how to estimate versus correct.
Question 6.
Discuss the impact of increasing the step size on the accuracy of Heun's Method. What would happen?
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Consider how the error term changes with respect to step sizes.

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