Practice 2-step Adams–bashforth Method (153.2) - Adams–Moulton Method - Mathematics - iii (Differential Calculus) - Vol 4

Practice: 2-Step Adams–Bashforth Method

Lesson 153.2Adams–Moulton Method

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8 questions

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6 sample questions

Question 1.
Define the 2-Step Adams–Bashforth method in your own words.
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Think about how past values help us calculate new ones.
Question 2.
What is the importance of choosing an appropriate step size?
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Consider what happens if the step size is too large.
3Question 3.
What is the primary function of the 2-Step Adams–Bashforth method?
- To use past values to predict future values
- Only to compute current values
- It has no use
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Think about what 'predicting' means in the context of this method.
4Question 4.
The formula for the 2-Step Adams-Bashforth method is based on which principle?
- True
- False
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Recall how we derive numerical methods!
Question 5.
Using the 2-Step Adams-Bashforth method, calculate $y(0.6)$ given that you have $y(0) = 1.0, y(0.2) = 1.2, f(0, 1) = 0.5, and f(0.2, 1.2) = 0.6$ .
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Ensure to apply your values correctly into the given method!
Question 6.
Discuss the impact of a larger step size on the accuracy of the 2-Step Adams-Bashforth method.
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Remember how numerical methods typically behave with incremental changes!

4 more questions in this section. Enroll free to practise them all.