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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the primary advantage of Heun’s method over Euler’s method?
💡 Hint: Think about the number of slopes used in both methods.
Question 2
Easy
How many function evaluations are required for one step in Heun’s method?
💡 Hint: Consider the predictor and corrector steps.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
Which of the following best describes Heun's method?
- A first-order method
- A second-order method
- A third-order method
💡 Hint: Recall the definitions of different order methods.
Question 2
True or False: Heun's method requires only one evaluation of the function per step.
- True
- False
💡 Hint: Think about the predictor and corrector steps in Heun's method.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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).
💡 Hint: Repeat the steps twice in the same way as described in the section.
Question 2
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.
💡 Hint: Remember to calculate e^(-t).
Challenge and get performance evaluation