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Simple Linear 1
Equations:
Description:
A simple second order linear equation with constant coefficients.
Keywords:
simple; linear; constant coefficients
Plots:
Initial value problems:
IVP 18
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=0.00500
- c5: t_us=0.00390 , e_us=4.902744876744691e-13
- c6: t_bd=10.000000 , e_bd=3.656250000000000e+00
VNODE-LP
- method: HOE
- order: 15
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.00890
- c5: t_us=0.00660 , e_us=1.136868377216160e-13
- c6: t_bd=10.000000 , e_bd=1.164062500000000e+00
VNODE-LP
- method: HOE
- order: 20
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.01290
- c5: t_us=0.00860 , e_us=1.207922650792170e-13
- c6: t_bd=10.000000 , e_bd=2.667968750000000e+00
VNODE-LP
- method: HOE
- order: 5
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.05510
- c5: t_us=0.04960 , e_us=4.737898962048348e-11
- c6: t_bd=10.000000 , e_bd=2.613554687500000e+02
IVP 19
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=0.00500
- c5: t_us=0.00350 , e_us=7.105427357601002e-13
- c6: t_bd=10.000000 , e_bd=5.035156250000000e+00
VNODE-LP
- method: HOE
- order: 15
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.00900
- c5: t_us=0.00670 , e_us=1.776356839400250e-13
- c6: t_bd=10.000000 , e_bd=1.476562500000000e+00
VNODE-LP
- method: HOE
- order: 20
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.01300
- c5: t_us=0.00940 , e_us=1.776356839400250e-13
- c6: t_bd=10.000000 , e_bd=3.269531250000000e+00
VNODE-LP
- method: HOE
- order: 5
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.05460
- c5: t_us=0.05080 , e_us=5.626077381748473e-11
- c6: t_bd=10.000000 , e_bd=3.575468750000000e+02
* rounded (non-rigorously) to 5 decimal places to preserve screen real estate.
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