Differential Equations Lecture Work Solutions 330

Differential Equations Lecture Work Solutions 330 - 9.10.4...

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Unformatted text preview: 9.10.4 Implicit Method Problems 1. Apply the two-step Lax Wendroff method to the PDE ∂3u ∂u ∂F + +u 3 = 0 ∂t ∂x ∂x where F = F (u). Develop the final finite difference equations. 2. Apply the Beam-Warming scheme with Euler implicit time differencing to the linearized Burgers’ equation on the computational grid given in Figure 61 (use c = 2, µ = 2, ∆x = 1) and determine the steady state values of u at j = 2 and j = 3. the boundary conditions are u n = 1, 1 u 1 = 0, 2 and the initial conditions are un = 4 4 u1 = 0 3 Do not use a computer to solve this problem. t 3 2 u=1 u=4 1 n=0 j=1 x 2 3 4 Figure 61: Computational Grid for Problem 2 330 ...
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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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