Differential Equations Solutions 147

Differential Equations Solutions 147 - 157 colony new: 1...

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157 colony c el c ea c pa L μ A residual new: 1 0.018664 0.008854 0.020690 5.58 0.144137 0.036097 5.04 old: 1 0.009800 0.017500 0.019800 23.36 0.472600 0.093400 17.19 new: 2 0.004212 0.013351 0.028541 6.77 0.587314 0.000005 7.25 old: 2 0.010500 0.008700 0.017400 11.24 0.501400 0.093000 14.24 new: 3 0.018904 0.006858 0.035082 6.47 0.288125 0.000062 4.37 old: 3 0.008000 0.004400 0.018000 5.34 0.508200 0.146800 4.66 new: 4 0.017520 0.012798 0.023705 6.79 0.284414 0.005774 6.47 old: 4 0.008000 0.006800 0.016200 7.20 0.564600 0.109900 7.42 Table 26.1. Parameter estimates computed in Challenge 4 for our mini- mization function (“new”) and that of Dennis et al. (“old”). Colony Norm of data vector New residual Old residual Colony 1 33.55 5.04 17.19 Colony 2 33.70 7.25 14.24 Colony 3 33.44 4.37 4.66 Colony 4 33.68 6.47 7.42 Table 26.2. Residual norms computed in Challenge 4 for our minimization function (“new”) and that of Dennis et al. (“old”). CHALLENGE 26.4. The bounds used were 0 and 1 for all parameters except b . The value of b was conFned to the interval [0
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