A first order method is used to solve the initial value problem (IVP) y' = f(t, y), with y(to) = Y0, with N intervals of width h. If EN = y(tN) – YN = 0.0049, then you would expect the error with 5 times as many intervals to be 0.00020 7.8E-6 0.00098 2.2E-16 3.9E-5

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A first order method is used to solve the initial value problem (IVP) y' = f(t, y), with y(to) = Yo , with N intervals of width h.
If EN = y(tN) – YN = 0.0049, then you would expect the error with 5 times as many intervals to be
%3D
0.00020
7.8E-6
0.00098
2.2E-16
3.9E-5
Transcribed Image Text:A first order method is used to solve the initial value problem (IVP) y' = f(t, y), with y(to) = Yo , with N intervals of width h. If EN = y(tN) – YN = 0.0049, then you would expect the error with 5 times as many intervals to be %3D 0.00020 7.8E-6 0.00098 2.2E-16 3.9E-5
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