Practice Finite Difference Method (3.1) - Domain of Dependence and Range of Influence

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6 sample questions

Question 1.
What are the three types of PDEs?
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Think of the acronym EPH.
Question 2.
Define boundary conditions.
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Consider how they affect the solution.
3Question 3.
What is the domain of influence in a PDE?
- A region dependent on point P
- The entire solution domain
- An irrelevant area
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What impacts every point?
4Question 4.
True or False: The finite difference method is used exclusively for elliptic PDEs.
- True
- False
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Think about the types of PDEs we discussed.
Question 5.
Given a parabolic PDE, describe how you would set up the boundary and initial conditions for a simulation. What challenges might arise?
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Consider how time evolves and how boundary constraints work.
Question 6.
How might the behavior of a wave (hyperbolic PDE) differ from the steady-state of heat distribution (elliptic PDE) in terms of influence and dependence?
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Think about how disturbances travel versus repeating states.

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