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Theory and Modern Applications

Table 4 Numerical results for concentration of drug in Model A

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

3.09796 ×10−4

1.48973 ×10−5

NDIBBDF

3.56173 ×10−4

3.97651 ×10−5

BBDF-α

3.39287 ×10−4

7.00533 ×10−5

ode15s

7.75030 ×10−3

3.40630 ×10−2

ode23s

4.16650 ×10−3

5.00000 ×10−2

10−4

ρ-DIBBDF

3.26669 ×10−8

4.80924 ×10−4

NDIBBDF

3.81740 ×10−8

5.65695 ×10−3

BBDF-α

3.61969 ×10−8

8.25088 ×10−3

ode15s

1.53220 ×10−4

6.09380 ×10−2

ode23s

2.40510 ×10−4

9.81250 ×10−2

10−6

ρ-DIBBDF

5.29902 ×10−11

2.34869 ×10−2

NDIBBDF

3.24996 ×10−10

4.97863 ×10−1

BBDF-α

2.56585 ×10−10

9.54964 ×10−1

ode15s

2.44190 ×10−6

9.37500 ×10−1

ode23s

1.16910 ×10−5

5.46880 ×10−1