Subdivision Collocation Method for One-Dimensional Bratu’s Problem

Table 5

Comparison between numerical results of (2) for case .

	Exact solution	By subdivision collection algorithm	By [25]	By [5]
0.0	0.0000000000	0.000000000000000	0.0000000000	0.0000000000
0.1	0.1144107440	0.114248449272834	0.0991935000	0.1122817141
0.2	0.2064191156	0.206065066411653	0.1917440000	0.2022094162
0.3	0.2738793116	0.273375407642615	0.2679915000	0.2676925058
0.4	0.3150893646	0.314489410524746	0.3183360000	0.3070874506
0.5	0.3289524214	0.328319028557975	0.3359375000	0.3193532294
0.6	0.3150893646	0.314489410524746	0.3183360000	0.3041598403
0.7	0.2738793116	0.273375407642615	0.2679915000	0.2619458909
0.8	0.2064191156	0.206065066411653	0.1917440000	0.1940413072
0.9	0.1144107440	0.114248449272835	0.0991935000	0.1035373785
1.0	0.0000000000	0.000000000000000	0.0000000000	0.0000000000