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4 cards from this section. Quick, good the night before a test.
What is a Partial Differential Equation?
Think about how it differs from an ordinary differential equation.
Name a type of PDE and give an example.
Recall the types we discussed: Elliptic, Parabolic, Hyperbolic.
What does the acronym EPH stand for regarding types of PDEs?
Recall the order in which we discussed the types.
True or False: The Finite Volume Method ensures conservation laws.
Think about fluid dynamics where mass must be conserved.
Derive the explicit finite difference scheme for the heat equation and analyze its stability.
Focus on the discretization of the heat equation and ensure you verify the conditions.
Consider a PDE representing fluid flow in a channel. Discuss how the Finite Volume Method might apply to ensure mass conservation.
Envision how mass flows in and out of each controlled volume in your explanation.
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