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A3 DETEST
Equations:
Description:
A simple oscillatory problem; derived from a linear non-autonomous equation with variable coefficients.
Link to DETEST description
Keywords:
non-linear; simple; periodic
Plots:
Initial value problems:
IVP 32
Class: PILANU
Exact Solution*:
View test data:
Solver
Settings
Results
VNODE-LP
- method: HOE
- order: 10
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.00590
- c5: t_us=0.00440 , e_us=3.019806626980426e-14
- c6: t_bd=10.000000 , e_bd=4.506395256953510e-13
VNODE-LP
- method: HOE
- order: 15
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.01080
- c5: t_us=0.00900 , e_us=7.549516567451064e-15
- c6: t_bd=10.000000 , e_bd=6.883382752675971e-14
VNODE-LP
- method: HOE
- order: 20
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.01650
- c5: t_us=0.01310 , e_us=7.105427357601002e-15
- c6: t_bd=10.000000 , e_bd=6.761258219967203e-14
VNODE-LP
- method: HOE
- order: 5
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.04130
- c5: t_us=0.03720 , e_us=6.066258606551855e-13
- c6: t_bd=10.000000 , e_bd=6.029066135226913e-12
IVP 33
Class: PILAU
Exact Solution*:
View test data:
Solver
Settings
Results
VNODE-LP
- method: HOE
- order: 10
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.00590
- c5: t_us=0.00440 , e_us=5.595524044110789e-14
- c6: t_bd=10.000000 , e_bd=6.665779039849440e-13
VNODE-LP
- method: HOE
- order: 15
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.01090
- c5: t_us=0.00800 , e_us=1.021405182655144e-14
- c6: t_bd=10.000000 , e_bd=1.180167075176541e-13
VNODE-LP
- method: HOE
- order: 20
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.01670
- c5: t_us=0.01290 , e_us=8.881784197001252e-15
- c6: t_bd=10.000000 , e_bd=1.076916333886402e-13
VNODE-LP
- method: HOE
- order: 5
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.04300
- c5: t_us=0.03800 , e_us=1.625810597261079e-12
- c6: t_bd=10.000000 , e_bd=1.097633095525907e-11
* rounded (non-rigorously) to 5 decimal places to preserve screen real estate.
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