Higher-dimensional PDE: Vibrating rectangular membranes and nodes. - Maple Application Center
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Higher-dimensional PDE: Vibrating rectangular membranes and nodes.

Author
: Anton Dzhamay
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In this worksheet we consider some examples of the vibrating patterns of rectangular membranes. Such membranes are described by the 2-dimensional wave equation diff(u(x,y,t),t,t) = c^2*Delta(u(x,y,t)) . we are mainly interested in the product solution obtained by the method of separation of variables, such product solutions of the wave equations are also called standing waves . In particular, we consider intricate patterns of nodal curves appearing when there is more than one eigenfunction corresponding to the same eigenvalue (this happens, for example, for a square membrane.

Application Details

Publish Date: August 17, 2004
Created In: Maple 9
Language: English

Tags

pde

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