Differential Equations Lecture Work Solutions 220

Differential Equations Lecture Work Solutions 220 - 1. Let...

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Unformatted text preview: 1. Let the vector U be defined as u v U= Then the equation can be written as Ut = AUx + BUy where A= 0 1 −1 0 B= −1 0 0 1 The eigenvalues of A are λ −1 1λ or λ2 + 1 = 0 λ = ±i So the system behaves like elliptic in the x, t space The eigenvalues of B are λ+1 0 0 λ−1 or λ2 − 1 = 0 λ = ±1 So the system behaves like hyperbolic in the y, t space 220 ...
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.

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