Repeat Q1 with_Ax=0.05, 0.025, 0.0123 and determine whether the convergence with Ax is consistent with the leading term

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Repeat Q1 With Ax 0 05 0 025 0 0123 And Determine Whether The Convergence With Ax Is Consistent With The Leading Term 1 (40.81 KiB) Viewed 33 times

Repeat Q1 with_Ax=0.05, 0.025, 0.0123 and determine whether the convergence with Ax is consistent with the leading term or the truncation error. Double precision may be required to resolve the error associated with scheme (c). Question 1 is shown below. For y=sin x/2 obtain dy/dx at x=0.5 with Ax=0.1 using: dy yj+1 – Yj-1, (a) dx 24x dy - 9j+1-Yj, Yj (b) dx Δx (c) dy Yj-2–8y;-1 +8y;+1 – 9j+2 dx 124x