Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the acronym IVP stand for?
💡 Hint: Think about how we begin solving differential equations.
Question 2
Easy
What is meant by step size in numerical methods?
💡 Hint: It's related to how quickly we move along the x-axis.
Practice 4 more questions and get performance evaluation
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What type of method is the Adams-Bashforth method?
💡 Hint: Recall the key features of Adams-Bashforth.
Question 2
True or False: The Local Truncation Error for a 2-step Adams-Bashforth method is O(h^2).
💡 Hint: Consider the definition of Local Truncation Error.
Solve 2 more questions and get performance evaluation
Push your limits with challenges.
Question 1
Given the ODE $\frac{dy}{dx} = y + 3x^2$ with initial condition $y(0)=1$, apply the 4-step Adams-Bashforth method to compute an approximation to $y(0.6)$ using a step size of $h=0.2$. Start with values obtained from a single-step method.
💡 Hint: Don’t forget to derive initial values before applying the 4-step method.
Question 2
Critically analyze how increasing the number of steps in the Adams-Bashforth method affects accuracy and computational load. Provide a practical scenario where one might choose a higher or lower step count.
💡 Hint: Reflect on typical use-cases for rapid versus precise results.
Challenge and get performance evaluation