A simple problem illustrates how the error is related to step size. Consider the following problem: The

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A simple problem illustrates how the error is related to step size. Consider the following problem:dy dt y(0) = 1, te [0, 1]. = f(t, y)= y +t,

The numerical solution using the explicit first-order Euler method, and the step size h = 0.2, is shown in Figure 6.2.y 3.5 3 2.5 2 1.5 0 0.2 0.4 t 0.6 True Euler 0.8 1

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Mathematical Modeling In Chemical Engineering

ISBN: 9781107049697

1st Edition

Authors: Anders Rasmuson, Bengt Andersson, Louise Olsson, Ronnie Andersson

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