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3 cards from this section. Quick, good the night before a test.
Define the Finite Difference Method.
Think about the process of solving equations numerically.
What does discretization mean?
Consider how we handle continuous and discrete values.
What is the main purpose of the Finite Difference Method?
Think about when analytical solutions are difficult or impossible.
True or False: Discretization converts a continuous function into discrete points for analysis.
Reflect on what discretization means.
Derive the finite difference approximation for the first derivative of a function at point x.
Consider how you can approximate the slope using finite distances.
Apply FDM to approximate how the temperature changes over time in a one-dimensional bar with given boundary conditions.
Think about how you divide the bar into sections to simulate the temperature change.
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