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Given that u = u(x, t) satisfies the wave equation utt = c?uxx in t> 0 and 0 < x < 1 with %3D boundary conditions u(0, t) = u(1, t) = 0 (t > 0) with wave speed c = 1.2. The numerical method is implemented using Ax = 0.25 and At = 0.1. Suppose you calculated u values for 5 time-steps. To calculate u values at the next time-step so as to find an approximation to u at t = 6 At, you should use the following formula: u,1 = (0.5 r² u1-10 + (1– r² )u,0 +0.5r² u1-1,0 +kg (x,)) Select one: O True O False

Given that u = u(x, t) satisfies the wave equation utt = c?uxx in t> 0 and 0 < x < 1 with %3D boundary conditions u(0, t) = u(1, t) = 0 (t > 0) with wave speed c = 1.2. The numerical method is implemented using Ax = 0.25 and At = 0.1. Suppose you calculated u values for 5 time-steps. To calculate u values at the next time-step so as to find an approximation to u at t = 6 At, you should use the following formula: u,1 = (0.5 r² u1-10 + (1– r² )u,0 +0.5r² u1-1,0 +kg (x,)) Select one: O True O False

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given that u = u(x, t) satisfies the wave equation utt = c?uxx in t> 0 and 0 < x < 1 with boundary conditions u(0, t) = u(1, t) = 0 (t > 0) with wave speed c = 1.2. The numerical method is implemented using Ax = 0.25 and At = 0.1. Suppose you calculated u values for 5 time-steps. To calculate u values at the next time-step so as to find an approximation to u at t = 6 At, you should use the following formula: u,1 = (0.5 r² u,-10 + (1– r² )u,0 +0.5r² u,-1,0 +kg (x,)) Select one: O True O False
Transcribed Image Text:Given that u = u(x, t) satisfies the wave equation utt = c?uxx in t> 0 and 0 < x < 1 with boundary conditions u(0, t) = u(1, t) = 0 (t > 0) with wave speed c = 1.2. The numerical method is implemented using Ax = 0.25 and At = 0.1. Suppose you calculated u values for 5 time-steps. To calculate u values at the next time-step so as to find an approximation to u at t = 6 At, you should use the following formula: u,1 = (0.5 r² u,-10 + (1– r² )u,0 +0.5r² u,-1,0 +kg (x,)) Select one: O True O False
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