Unformatted text preview: u = 0.2 and ρ = 3.01, 3.05 and 3.1, respectively. In each case, estimate how many iterations it takes for the solution to get to within 0.01% of the limiting values of the steady state oscillation. 3. By plotting the solution for diﬀerent values of ρ , estimate the value of ρ for which the solution changes from an oscillation of period two to one of period four. In the same way, estimate the value of ρ for which the solution changes from period four to period eight. Ten bonus points will be awarded to the person who gets closest to the accurate value for each of the two estimates. 4. Explore the range 1 ≤ ρ ≤ 4, with steps Δ ρ = 0 . 01. For each value of ρ , and for u = 0.2, calculate u 1 to u 500 . Then plot a dot for each of the values u 401 to u 500 , for each value of ρ , in a ( ρ, u )plot....
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 Fall '08
 Meiburg
 Periodic function

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