11.1.5 - Example Problem
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the primary purpose of Heun's Method?
💡 Hint: Think about the equations used in modeling scientific problems.
What formula do you use for the predictor step in Heun’s Method?
💡 Hint: Recall the notation used in the section.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What order of accuracy does Heun's Method possess?
💡 Hint: Recall the comparison made against Euler's Method in class.
True or False: Heun’s Method requires only one function evaluation per step.
💡 Hint: Consider the steps involved in the method.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Using Heun’s Method, find the approximation of y at x = 0.2 for the function dy/dx = y - x with y(0) = 0.3. Show all steps and calculations.
💡 Hint: Pay close attention to each slope calculation.
Discuss why Heun’s Method might not perform well on stiff equations, providing a specific example.
💡 Hint: Consider the nature of the differential equation and impacts on numerical stability.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.