Unformatted text preview: e. State the orthogonality of these polynomials on the interval-∞ < x < ∞ . 2. The following PDE governs heat ³ow with convection: ∂u ∂t = k ∂ 2 u ∂x 2 + V ∂u ∂x 3a. Show that the x ODE obtained by separation of variables is not in Sturm-Liouville form. 3b. Solve the initial-boundary value problem: u (0 , t ) = 0 u ( L, t ) = 0 u ( x, 0) = f ( x )...
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- Spring '08
- 2m, Hermite, Advanced Engineering Analysis, following PDE governs