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Theory and Modern Applications

Table 9 Numerical results for concentration of drug in Model C(ii)

From: Stability analysis of a diagonally implicit scheme of block backward differentiation formula for stiff pharmacokinetics models

h

Method

MAXE

TIME

10−2

ρ-DIBBDF

1.28576 ×10−1

2.62771 ×10−5

NDIBBDF

1.47664 ×10−1

5.03962 ×10−5

BBDF-α

1.40710 ×10−1

3.68505 ×10−4

ode15s

8.07060 ×10−1

2.37500 ×10−2

ode23s

1.18000 ×100

3.46880 ×10−2

10−4

ρ-DIBBDF

1.35922 ×10−5

2.71888 ×10−4

NDIBBDF

1.58834 ×10−5

7.83104 ×10−4

BBDF-α

1.50609 ×10−5

1.09721 ×10−3

ode15s

1.91560 ×10−2

9.81250 ×10−2

ode23s

6.17390 ×10−2

8.81250 ×10−2

10−6

ρ-DIBBDF

2.21650 ×10−8

1.89351 ×10−2

NDIBBDF

1.70972 ×10−7

3.69889 ×10−2

BBDF-α

1.38956 ×10−7

4.49960 ×10−2

ode15s

2.94160 ×10−4

7.81250 ×10−1

ode23s

2.91030 ×10−3

2.87500 ×10−1