Consider the potentially stiff system For large values, the system becomes stiff as it contains components
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Consider the potentially stiff system
For large α values, the system becomes stiff as it contains components that vary with different speeds, i.e. y2(t) approaches zero much faster than y1(t) does. The solutions to this problem for α = 2 and α = 200 000 are shown in Figure 6.11. By analyzing the
number of steps required by the different methods, it becomes clear how the stiff solvers outperform the explicit methods. Calculations have been performed for different values of α with different error tolerances; the results are summarized in Table 6.4.
Table 6.4
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Related Book For
Mathematical Modeling In Chemical Engineering
ISBN: 9781107049697
1st Edition
Authors: Anders Rasmuson, Bengt Andersson, Louise Olsson, Ronnie Andersson
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