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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does FDM stand for?
💡 Hint: Think about how we approximate derivatives.
Question 2
Easy
Name a common application of FDM.
💡 Hint: Consider phenomena modeled by PDEs.
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 does the acronym FDM stand for?
- Finite Difference Method
- Finite Derivative Method
- Functional Difference Method
💡 Hint: Think of how we approximate derivatives.
Question 2
True or False: The explicit method in FDM is unconditionally stable.
- True
- False
💡 Hint: Recall the conditions for stability in explicit methods.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using FDM, solve the 1D heat equation with boundary conditions u(0,t)=0 and u(L,t)=100 over a domain of length L=10 with appropriate discretization.
💡 Hint: Draw out the grid and apply the finite difference formulas.
Question 2
Propose a method to overcome the stability issues of explicit methods when implementing FDM. Discuss the advantages and potential limitations.
💡 Hint: Consider stability versus computational cost when discussing methods.
Challenge and get performance evaluation