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C1 DETEST
Description:
A radioactive decay chain with all constants equal to 1. Please note that the supplied exact solution is correct only for certain initial conditions (e.g., those from the IVPs).
Link to DETEST description
Keywords:
decoupled
Plots:
Initial value problems:
IVP 58
Class: PILB
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=0.01960
- c5: t_us=0.01770 , e_us=1.283786216506430e-15
- c6: t_bd=10.000000 , e_bd=5.269118474870993e-13
VNODE-LP
- method: HOE
- order: 15
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.02920
- c5: t_us=0.02510 , e_us=8.865406814966090e-17
- c6: t_bd=10.000000 , e_bd=2.498001805406602e-14
VNODE-LP
- method: HOE
- order: 20
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.03620
- c5: t_us=0.03140 , e_us=1.767334244446098e-18
- c6: t_bd=10.000000 , e_bd=1.187938636348917e-14
VNODE-LP
- method: HOE
- order: 5
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.57180
- c5: t_us=0.56620 , e_us=7.184503812457822e-16
- c6: t_bd=10.000000 , e_bd=6.971534460831208e-12
Generate graphics:
IVP 59
Class: PILB
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=0.01970
- c5: t_us=0.01910 , e_us=1.125202607280207e-06
- c6: t_bd=10.000000 , e_bd=6.671803212505651e-01
VNODE-LP
- method: HOE
- order: 15
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.02820
- c5: t_us=0.02720 , e_us=1.125202598228484e-06
- c6: t_bd=10.000000 , e_bd=6.671803212494318e-01
VNODE-LP
- method: HOE
- order: 20
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.03520
- c5: t_us=0.03240 , e_us=1.125202597975911e-06
- c6: t_bd=10.000000 , e_bd=6.671803212493616e-01
VNODE-LP
- method: HOE
- order: 5
- abs. tolerance: 1e-12
- rel. tolerance: 1e-12
- min. stepsize: 1e-05
- c4: t_c=0.62670
- c5: t_us=0.62310 , e_us=1.125202643704065e-06
- c6: t_bd=10.000000 , e_bd=6.671803212977596e-01