Modified Jacobian Newton Iterative Method: Theory and Applications

Table 3

Numerical results for the Bernoulli equation with iterative operator-splitting method.

Time partitions	Number of iter.	Approximated solution	Error
1	2	0.0125000000	1.250000e-002
1	4	0.2927814810	2.927815e-001
1	10	0.0109667158	1.096672e-002
1	50	0.0109556732	1.095567e-002
5	2	0.0109913109	1.099131e-002
5	4	0.3152826900	3.152827e-001
5	10	0.0108511723	1.085117e-002
5	50	0.0108509643	1.085096e-002
10	2	0.0108995483	1.089955e-002
10	4	0.2437741856	2.437742e-001
10	10	0.0108426328	1.084263e-002
10	50	0.0108426158	1.084262e-002
50	2	0.0149667882	1.496679e-002
50	4	0.0166913971	1.669140e-002
50	10	0.0157464111	1.574641e-002
50	50	0.0159933864	1.599339e-002
100	2	0.0154572223	1.545722e-002
100	4	0.0160048071	1.600481e-002
100	10	0.0158481781	1.584818e-002
100	50	0.0158673179	1.586732e-002