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2 cards from this section. Quick, good the night before a test.
What are the three types of PDEs discussed?
Recall the basic classifications.
Define truncation error.
Think about approximations in numerical methods.
What are the three types of Partial Differential Equations (PDEs)?
Think about characteristics when naming the types.
True or False: Truncation error can be minimized by reducing delta x.
Remember how we define truncation error.
Given a PDE, classify it as elliptic, parabolic, or hyperbolic, providing reasoning based on its form. For example, consider u_xx + u_yy = 0.
Think about the characteristics of the equation form.
Apply the finite difference method to a one-dimensional heat equation: ∂u/∂t = k ∂²u/∂x². Derive the numerical discretization over a grid.
Identify how you would set up your grid schema.
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