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3 cards from this section. Quick, good the night before a test.
What is the first step in formulating a boundary value problem?
Think about where the problem is happening.
Why are boundary conditions important?
Consider how many solutions there can be without them.
What is the first step in formulating a boundary value problem?
Where does the problem occur?
Are boundary conditions necessary for uniqueness of solutions?
Think about what happens without boundaries.
Design a simple boundary value problem for water flow in a tank, detailing the region, governing equation, and at least two boundary conditions.
Consider the essential parameters: shape, equations governing flow, and entrance or wall conditions!
Explain how you would verify a solution to a boundary value problem in a hydraulic system.
Return to the conditions set—does the solution adhere to physical laws?
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