11.1.6 - Geometric Interpretation
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Practice Questions
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Define Heun's Method.
💡 Hint: Think about its order and purpose.
What does a predictor-corrector approach signify?
💡 Hint: Consider how predictions can be adjusted.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the primary advantage of Heun’s Method over Euler's Method?
💡 Hint: Consider how error might change with different methods.
Heun’s Method is classified as a first-order method.
💡 Hint: Reflect on definitions of numerical method classifications.
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Challenge Problems
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Apply Heun’s Method to solve the ODE dy/dx = -2y with y(0) = 1 at x = 0.2 with step size 0.1.
💡 Hint: Remember the steps of Heun's method and how to estimate versus correct.
Discuss the impact of increasing the step size on the accuracy of Heun's Method. What would happen?
💡 Hint: Consider how the error term changes with respect to step sizes.
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