Unformatted text preview: rabolic? Elliptic? (In each case, answer by giving the equation or inequality that must satisfy to make the equation hyperbolic, parabolic, or elliptic.)
(a) y 1 2 (b) 1 2 (c) 1 y 21 1 0 2. [60 points]
Consider now the 1D wave equation along with the initial and boundary conditions given in Eq. (2),
,0 2
sin
0, sin ,
,0 , Note that the extra term that appears in Eq.(2), 0,
sin
0, 0 ,
, ,0 2 sin 1
0, (2) 1
generally stands for an external force that acts on a system, e.g. a string, and is causing wha...
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 Winter '14
 Numerical Analysis, Partial differential equation, Applied Engineering Analytical & Numerical Methods II, 1D Wave Equation

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