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B1 DETEST

Equations:
Description:

The growth of two conflicting populations.
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min test set

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Initial value problems:

IVP 12

Class: PINLBNU

Exact Solution*:
View test data:
Solver
Settings
Results
DynIbex
  • arithmetic: Interval
  • method: 7
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 0
  • c4: t_c=0.93450
  • c5: t_us=0.93370 ,  e_us=1.722932907455288e-11
  • c6: t_bd=10.000000 ,  e_bd=8.105921966983232e-08
DynIbex
  • arithmetic: Interval
  • method: 7
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 1
  • c4: t_c=6.76990
  • c5: t_us=6.76790 ,  e_us=1.223110501769042e-11
  • c6: t_bd=10.000000 ,  e_bd=6.172020516892474e-08
DynIbex
  • arithmetic: Interval
  • method: 9
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 0
  • c4: t_c=8.22500
  • c5: t_us=8.22030 ,  e_us=1.133138027853420e-11
  • c6: t_bd=10.000000 ,  e_bd=8.838172482761308e-08
DynIbex
  • arithmetic: Interval
  • method: 11
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 0
  • c4: t_c=11.74060
  • c5: t_us=11.73550 ,  e_us=2.326228099036598e-11
  • c6: t_bd=10.000000 ,  e_bd=1.202002590794393e-07
VNODE-LP
  • method: HOE
  • order: 10
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.00780
  • c5: t_us=0.00570 ,  e_us=3.952393967665557e-14
  • c6: t_bd=10.000000 ,  e_bd=1.477040711961308e-12
VNODE-LP
  • method: HOE
  • order: 15
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.01450
  • c5: t_us=0.01180 ,  e_us=2.753353101070388e-14
  • c6: t_bd=10.000000 ,  e_bd=1.209310429572952e-12
VNODE-LP
  • method: HOE
  • order: 20
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.02140
  • c5: t_us=0.01720 ,  e_us=1.509903313490213e-14
  • c6: t_bd=10.000000 ,  e_bd=1.239341962389062e-12
VNODE-LP
  • method: HOE
  • order: 5
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.06460
  • c5: t_us=0.05930 ,  e_us=7.582823258189819e-13
  • c6: t_bd=10.000000 ,  e_bd=3.037398110805611e-11
Generate graphics:
DynIbex VNODE-LP
WPD for Problem 12

IVP 13

Class: PINLBU

Exact Solution*:
View test data:
Solver
Settings
Results
DynIbex
  • arithmetic: Interval
  • method: 7
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 0
  • c4: t_c=1.01070
  • c5: t_us=1.00900 ,  e_us=6.981956656624311e-02
  • c6: t_bd=7.519061 ,  e_bd=3.452590000000000e+04
DynIbex
  • arithmetic: Interval
  • method: 7
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 1
  • c4: t_c=6.49950
  • c5: t_us=6.49580 ,  e_us=6.981667821814996e-02
  • c6: t_bd=8.622078 ,  e_bd=4.037180000000000e+04
DynIbex
  • arithmetic: Interval
  • method: 9
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 0
  • c4: t_c=8.02180
  • c5: t_us=8.01680 ,  e_us=7.252702688566570e-02
  • c6: t_bd=6.480013 ,  e_bd=5.034570000000000e+04
DynIbex
  • arithmetic: Interval
  • method: 11
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 0
  • c4: t_c=11.92670
  • c5: t_us=11.91970 ,  e_us=7.369729895782973e-02
  • c6: t_bd=5.788071 ,  e_bd=4.472870000000000e+04
VNODE-LP
  • method: HOE
  • order: 10
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.00870
  • c5: t_us=0.00690 ,  e_us=7.331193896234400e-02
  • c6: t_bd=5.546866 ,  e_bd=1.830265074813921e+03
VNODE-LP
  • method: HOE
  • order: 15
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.01570
  • c5: t_us=0.01260 ,  e_us=7.443061287635921e-02
  • c6: t_bd=5.347299 ,  e_bd=6.940508713912105e+03
VNODE-LP
  • method: HOE
  • order: 20
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.02270
  • c5: t_us=0.01960 ,  e_us=7.566188324697976e-02
  • c6: t_bd=5.307948 ,  e_bd=1.309434189939667e+04
VNODE-LP
  • method: HOE
  • order: 5
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.07930
  • c5: t_us=0.07320 ,  e_us=7.286425773551097e-02
  • c6: t_bd=5.792123 ,  e_bd=3.134934399588073e+01
Generate graphics:
DynIbex VNODE-LP
WPD for Problem 13

* rounded (non-rigorously) to 5 decimal places to preserve screen real estate.

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