11.1.3 - Heun's Method Formula
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Practice Questions
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What is Heun's method used for?
💡 Hint: Think about the mathematical problems where numerical solutions are needed.
Name the two main steps in Heun's method.
💡 Hint: What are the two parts of the process in this method?
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Interactive Quizzes
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What type of method is Heun's method?
💡 Hint: Recall the order of methods discussed earlier.
Heun’s method uses how many function evaluations per step?
💡 Hint: Think about the predictor and the corrector steps.
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Challenge Problems
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Given the ODE dy/dx = y - x, with y(0)=1, use Heun's method with a step size of 0.2 to find y at x=0.4.
💡 Hint: Follow through the Heun calculations step by step.
How would you adapt Heun's method to solve a stiff equation? Explain any additional strategies.
💡 Hint: Consider the implications of stiffness on numerical methods.
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