9.5 - Error in Euler’s Method
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Practice Questions
Test your understanding with targeted questions
What is Local Truncation Error?
💡 Hint: Think about the error in one calculation step.
How does Global Truncation Error differ from Local Truncation Error?
💡 Hint: Consider the difference in how errors accumulate.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does Local Truncation Error depend on?
💡 Hint: Remember the relationship between LTE and step size.
True or False: Global Truncation Error adds up errors over multiple steps.
💡 Hint: Think about how errors might accumulate in a series.
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Challenge Problems
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Suppose you have an ODE to solve where the step sizes are h = 0.1, h = 0.05, and h = 0.01. Compare the expected Local Truncation and Global Truncation Errors for these step sizes.
💡 Hint: Think about how both types of errors relate to h squared and h.
Design a numerical experiment using different step sizes for Euler’s Method on the same ODE, tracking how errors differ in your results at predetermined points.
💡 Hint: Conduct the experiment focusing on both types of errors, ensuring clarity in recording outcomes.
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