Practice - Local Truncation Error (LTE) - 17.1.2
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Practice Questions
Test your understanding with targeted questions
Define Local Truncation Error.
💡 Hint: What happens in one step that leads to error?
What is the LTE for Euler’s Method?
💡 Hint: How does the step size affect the error in Euler's method?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is Local Truncation Error (LTE)?
💡 Hint: Think about what happens in one step of approximation.
Higher-order methods generally lead to what outcome regarding error?
💡 Hint: Focus on how method order impacts convergence.
1 more question available
Challenge Problems
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If the true value of a function at x=1 is 4 and using Euler's method, you find it to be 3.5 with a step size of 0.2, calculate the Local Truncation Error.
💡 Hint: Apply the formula: LTE = true value - numerical value.
How would you adjust a numerical method to improve accuracy if the Local Truncation Error is significantly high? Discuss two strategies.
💡 Hint: Think about how step size impacts accuracy or strategy changes in method selection.
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