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4 cards from this section. Quick, good the night before a test.
Define boundary conditions in the context of PDEs.
Think about where the solution is defined.
What do initial conditions specify?
Consider what happens when a system starts.
What do initial conditions specify in PDEs?
Remember, initial conditions relate to time t = 0.
True or False: Neumann boundary conditions specify the value of the function at the boundary.
Think about the physical meaning of a derivative.
Consider a rod heated at one end. Given the temperature distribution and a condition of fixed ends, how would you formulate the PDE and initial/boundary conditions?
Understand how temperatures interact with the environment to set your conditions.
For a vibrating string modeled by the wave equation, how would the boundary conditions change if the ends were held fixed compared to being free?
Consider the physical implications of 'holding' versus 'allowing movement' at the ends.
6 more questions in this section. Enroll free to practise them all.
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