Subdivision Collocation Method for One-Dimensional Bratu’s Problem

Table 4

Numerical results of (2) for case .

	Exact solution	By subdivision collection algorithm	Absolute error
0.0	0.0000000000	0.000000000000000	0.00000000000000
0.1	0.1144107440	0.114588772999854	1.78028999853849e − 4
0.2	0.2064191156	0.206717298179522	2.98182579522244e − 4
0.3	0.2738793116	0.274280205962876	4.00894362875881e − 4
0.4	0.3150893646	0.315559243360757	4.69878760757103e − 4
0.5	0.3289524214	0.329446300901418	4.93879501417605e − 4
0.6	0.3150893646	0.315559243360757	4.69878760757159e − 4
0.7	0.2738793116	0.274280205962876	4.00894362875992e − 4
0.8	0.2064191156	0.206717298179522	2.98182579522410e − 4
0.9	0.1144107440	0.114588772999854	1.78028999854057e − 4
1.0	0.0000000000	0.000000000000000	0.00000000000017e − 4