Practice 2-Step Adams–Bashforth Method - 153.2 | 15. Adams–Moulton Method | Mathematics - iii (Differential Calculus) - Vol 4
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define the 2-Step Adams–Bashforth method in your own words.

💡 Hint: Think about how past values help us calculate new ones.

Question 2

Easy

What is the importance of choosing an appropriate step size?

💡 Hint: Consider what happens if the step size is too large.

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

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

💡 Hint: Think about what 'predicting' means in the context of this method.

Question 2

The formula for the 2-Step Adams-Bashforth method is based on which principle?

  • True
  • False

💡 Hint: Recall how we derive numerical methods!

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using the 2-Step Adams-Bashforth method, calculate $y(0.6)$ given that you have $y(0) = 1.0, y(0.2) = 1.2, f(0, 1) = 0.5, and f(0.2, 1.2) = 0.6$.

💡 Hint: Ensure to apply your values correctly into the given method!

Question 2

Discuss the impact of a larger step size on the accuracy of the 2-Step Adams-Bashforth method.

💡 Hint: Remember how numerical methods typically behave with incremental changes!

Challenge and get performance evaluation