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Math · Advanced Math
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(a Derive the finite difference representation of the one dimensional wave equation where it is assumed that Ax-Δ. (12 marks) Use the scheme in (a) above with Ax = Δ = 0.4 to solve the following vibrating string problem on the interval 0sts0.8. (b) lu lu 11 = 6x(2-x) when 1-0 (0 x u 0 when x-0 20) 11-0 when x=2 (120). Cl-0 when t 0 (0 x 2) 2). ot Since 0 when t0, it may be assumed that i.l)- (-1,0)+u(i+1,0). ot

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