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3. Discretization Technique
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Mixed questions from across the chapter. Your answers get marked.
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4 cards from this lesson. Good the night before a test.
Try these first
- 1.
Define the domain of dependence.
Hint
Think about where initial conditions play a role.
- 2.
What is a key characteristic of an elliptic PDE?
Hint
Consider how influence overlaps in certain PDEs.
- 3.
What is the domain of dependence?
- An area influenced by solutions
- A region of no effect
- The entire domain
Hint
Focus on where solutions depend.
- 4.
Elliptic PDEs have what characteristic?
- True
- False
Hint
Remember how these terms are defined in your studies.
- 5.
Given an initial condition for a diffusion process, derive the finite difference approximation for the time-stepping solution.
Hint
Utilize the Taylor series to guide your approximations.
- 6.
Explore how changing boundary conditions in an elliptic PDE might affect the solution profile.
Hint
Consider how different limits may create divergence or convergence in solutions.
Exercises
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
4 more questions available
Enrol freeQuiz
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
2 more questions available
Enrol freeChallenge Problems
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting