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Theory and Modern Applications

Table 5 Numerical results for concentration of drug in Model B—Compound (i)

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

1.81939 ×10−3

4.34094 ×10−5

NDIBBDF

2.05922 ×10−3

2.06814 ×10−4

BBDF-α

1.98698 ×10−3

9.26115 ×10−4

ode15s

6.71190 ×10−3

1.40630 ×10−2

ode23s

3.73690 ×10−3

4.68750 ×10−2

10−4

ρ-DIBBDF

2.04691 ×10−7

7.38587 ×10−3

NDIBBDF

2.39095 ×10−7

1.27894 ×10−2

BBDF-α

2.26730 ×10−7

4.04615 ×10−2

ode15s

1.31340 ×10−4

5.46880 ×10−2

ode23s

2.10060 ×10−4

8.25000 ×10−2

10−6

ρ-DIBBDF

2.05082 ×10−11

2.49705 ×10−1

NDIBBDF

5.25957 ×10−11

1.58709 ×100

BBDF-α

4.82780 ×10−11

6.19037 ×100

ode15s

1.84520 ×10−6

8.25000 ×10−1

ode23s

1.02030 ×10−5

9.37500 ×10−1