3.1 - Finite Difference Method
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Practice Questions
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What are the three types of PDEs?
💡 Hint: Think of the acronym EPH.
Define boundary conditions.
💡 Hint: Consider how they affect the solution.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the domain of influence in a PDE?
💡 Hint: What impacts every point?
True or False: The finite difference method is used exclusively for elliptic PDEs.
💡 Hint: Think about the types of PDEs we discussed.
1 more question available
Challenge Problems
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Given a parabolic PDE, describe how you would set up the boundary and initial conditions for a simulation. What challenges might arise?
💡 Hint: Consider how time evolves and how boundary constraints work.
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?
💡 Hint: Think about how disturbances travel versus repeating states.
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