Problem statement: Senior engineers in council have decided that they need the following quantitative wave theory...
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Problem statement: Senior engineers in council have decided that they need the following quantitative wave theory problem solved: a²u a²u at² дх2 with 0<x< 1, t > 0, u(0, t) = u(1, t) = 0, t> 0 (boundary conditions), u(x,0) = sin(2x), 0≤x≤ 1, (initial displacement condition), du (x, 0): = 2лsin(2¹x), 0 ≤ x ≤ 1 (initial velocity condition). at Senior engineers have requested a spatial step size of h = 0.1 and a temporal step size of k = 0.1, although achieved with code that generalises to different spatial and temporal step sizes. They have also indicated that your team can compare your numerical solution with the exact solution (when t = 0.3) for this problem which is: u(x, t) = sin(2πx) (cos(2πt) + sin(2πt)). Note well to use the approximation given in the lecture notes for using the initial velocity condition to solve for the j=1 timestep. Submission requirements: For this assessment, two tasks need to be completed, namely: Task #1 [20/30 marks allocated] involves writing a Matlab function that solves the wave equation problem given above. Problem statement: Senior engineers in council have decided that they need the following quantitative wave theory problem solved: a²u a²u at² дх2 with 0<x< 1, t > 0, u(0, t) = u(1, t) = 0, t> 0 (boundary conditions), u(x,0) = sin(2x), 0≤x≤ 1, (initial displacement condition), du (x, 0): = 2лsin(2¹x), 0 ≤ x ≤ 1 (initial velocity condition). at Senior engineers have requested a spatial step size of h = 0.1 and a temporal step size of k = 0.1, although achieved with code that generalises to different spatial and temporal step sizes. They have also indicated that your team can compare your numerical solution with the exact solution (when t = 0.3) for this problem which is: u(x, t) = sin(2πx) (cos(2πt) + sin(2πt)). Note well to use the approximation given in the lecture notes for using the initial velocity condition to solve for the j=1 timestep. Submission requirements: For this assessment, two tasks need to be completed, namely: Task #1 [20/30 marks allocated] involves writing a Matlab function that solves the wave equation problem given above.
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Answer As male and female increase by 15 and 20 So 15 in... View the full answer
Related Book For
Fundamentals Of Hydraulic Engineering Systems
ISBN: 978-0136016380
4th Edition
Authors: Robert J. Houghtalen, A. Osman H. Akan, Ned H. C. Hwang
Posted Date:
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