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A2 DETEST

Equations:
Description:

A special case of the Riccati equation.
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min test set

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Initial value problems:

IVP 48

Class: PINLANU

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=0.13720
  • c5: t_us=0.13600 ,  e_us=1.231461017688895e-04
  • c6: t_bd=10.000000 ,  e_bd=9.546199178922521e-06
DynIbex
  • arithmetic: Interval
  • method: 7
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 1
  • c4: t_c=0.47520
  • c5: t_us=0.47320 ,  e_us=1.231461068847972e-04
  • c6: t_bd=10.000000 ,  e_bd=9.546204848831508e-06
DynIbex
  • arithmetic: Interval
  • method: 9
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 0
  • c4: t_c=0.67930
  • c5: t_us=0.67490 ,  e_us=3.487246330258209e-06
  • c6: t_bd=10.000000 ,  e_bd=2.708367501380593e-07
DynIbex
  • arithmetic: Interval
  • method: 11
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 0
  • c4: t_c=1.15510
  • c5: t_us=1.14710 ,  e_us=2.173076584344180e-06
  • c6: t_bd=10.000000 ,  e_bd=1.691637587786232e-07
VNODE-LP
  • method: HOE
  • order: 10
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.00490
  • c5: t_us=0.00320 ,  e_us=9.43689570931383e-15
  • c6: t_bd=10 ,  e_bd=2.97539770599542e-14
VNODE-LP
  • method: HOE
  • order: 15
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.00990
  • c5: t_us=0.00620 ,  e_us=1.77635683940025e-15
  • c6: t_bd=10 ,  e_bd=2.66453525910038e-15
VNODE-LP
  • method: HOE
  • order: 20
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.01590
  • c5: t_us=0.01100 ,  e_us=1.22124532708767e-15
  • c6: t_bd=10 ,  e_bd=1.38777878078145e-15
VNODE-LP
  • method: HOE
  • order: 5
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.03050
  • c5: t_us=0.02420 ,  e_us=9.30366894635881e-14
  • c6: t_bd=10 ,  e_bd=8.27116153345742e-14
Generate graphics:
DynIbex VNODE-LP
WPD for Problem 48

IVP 49

Class: PINLAU

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=1.10060
  • c5: t_us=1.09860 ,  e_us=2.444376253842778e-01
  • c6: t_bd=10.000000 ,  e_bd=1.908308535345104e-01
DynIbex
  • arithmetic: Interval
  • method: 7
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 1
  • c4: t_c=2.21610
  • c5: t_us=2.21220 ,  e_us=2.444376253842778e-01
  • c6: t_bd=10.000000 ,  e_bd=1.908308535355652e-01
DynIbex
  • arithmetic: Interval
  • method: 9
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 0
  • c4: t_c=6.46740
  • c5: t_us=6.46050 ,  e_us=2.451911367582863e-01
  • c6: t_bd=10.000000 ,  e_bd=1.893059459287465e-01
DynIbex
  • arithmetic: Interval
  • method: 11
  • abs. tolerance: 1e-12
  • initial stepsize: 1e-3
  • min. stepsize: 1e-5
  • monotonicity: 0
  • c4: t_c=57.93330
  • c5: t_us=57.92090 ,  e_us=2.445773376064547e-01
  • c6: t_bd=10.000000 ,  e_bd=1.904004850043778e-01
VNODE-LP
  • method: HOE
  • order: 10
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.01990
  • c5: t_us=0.01770 ,  e_us=0.78532679883391
  • c6: t_bd=1.289982 ,  e_bd=9.102291699838574e-01
VNODE-LP
  • method: HOE
  • order: 15
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=999
  • c5: t_us=999 ,  e_us=999
  • c6: t_bd=0.591574 ,  e_bd=1.194564746428312e+00
VNODE-LP
  • method: HOE
  • order: 20
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=999
  • c5: t_us=999 ,  e_us=999
  • c6: t_bd=0.428429 ,  e_bd=1.300341399536801e+00
VNODE-LP
  • method: HOE
  • order: 5
  • abs. tolerance: 1e-12
  • rel. tolerance: 1e-12
  • min. stepsize: 1e-05
  • c4: t_c=0.12520
  • c5: t_us=0.12130 ,  e_us=0.612542086033477
  • c6: t_bd=3.156974 ,  e_bd=5.689094593679198e-01
Generate graphics:
DynIbex VNODE-LP
WPD for Problem 49

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

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