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partial-differential-equations

Laplace's equation by separation of variables on a rectangle

taught

Solve the Dirichlet problem for Laplace's equation on a rectangle, matching one nonzero side at a time and superposing.

Taught in

Separation of variables on a rectangle
Partial Differential Equations
Recognizing when separation of variables applies
Partial Differential Equations

Requires

separation-of-variables-ansatz required

Required by

Laplace's equation in a box by 3-D separation required
Superposing four one-sided rectangle problems required
The Neumann problem's solvability condition required

Local knowledge map

Local knowledge map

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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.