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Simple Nonlinear 1
Plots:
Initial value problems:
IVP 8
Class: PINLANU
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=999
- c5: t_us=999 , e_us=999
- c6: t_bd=0.199455 , e_bd=1.044440978148486e-08
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=0.199848 , e_bd=4.310550139052793e-08
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=0.199918 , e_bd=1.044445525621995e-07
VNODE-LP
- method: HOE
- order: 5
- 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=0.171307 , e_bd=2.036557589235599e-10
IVP 85
Class: PINLAU
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=0.00470
- c5: t_us=0.00360 , e_us=2.516569496626715e-01
- c6: t_bd=10.000000 , e_bd=1.365286695083741e-01
VNODE-LP
- method: HOE
- order: 15
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.00860
- c5: t_us=0.00670 , e_us=3.229120403290369e-01
- c6: t_bd=7.580271 , e_bd=1.118355281193107e+04
VNODE-LP
- method: HOE
- order: 20
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.01260
- c5: t_us=0.00960 , e_us=4.185693431570740e-01
- c6: t_bd=4.322879 , e_bd=1.620921327851098e+04
VNODE-LP
- method: HOE
- order: 5
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.03090
- c5: t_us=0.02630 , e_us=2.336569799633257e-01
- c6: t_bd=10.000000 , e_bd=8.122605985508823e-02
* rounded (non-rigorously) to 5 decimal places to preserve screen real estate.
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