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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the Finite Difference Method (FDM) do?
💡 Hint: Think about how it transforms a differential equation into manageable parts.
Question 2
Easy
What is the main advantage of numerical methods?
💡 Hint: No hint provided
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 Finite Difference Method (FDM) approximate?
- Time only
- Space only
- Both space and time
💡 Hint: Remember that FDM deals with both dimensions.
Question 2
Is the Finite Element Method suitable for complex geometries?
- True
- False
💡 Hint: Think about the capability of FEM discussed in class.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using the Finite Difference Method, derive the iterative formula to approximate the wave equation on a string of length L and tension T. Assume small displacements and use a grid of 10 segments.
💡 Hint: Think about how the grid influences your calculations based on previous steps.
Question 2
Evaluate a structure using FEM. Consider a beam with varying cross-section under a static load. Discuss how you would set up the problem including nodes and elements.
💡 Hint: Make sure to think about where each change occurs in the structure to set the elements effectively.
Challenge and get performance evaluation