Subdivision Collocation Method for One-Dimensional Bratu’s Problem

Table 1

Numerical results of (2) by subdivision collection algorithm for case .

	Exact solution	By subdivision collection algorithm	Absolute error
0.0	0.0000000000	0.000000000000000	0.00000000000000
0.1	0.0498467900	0.049835942666664	1.08473333363529e − 5
0.2	0.0891899350	0.089157036980790	3.28980192095263e − 5
0.3	0.1176090956	0.117560379925558	4.87156744417711e − 5
0.4	0.1347902526	0.134731783666151	5.84689338488098e − 5
0.5	0.1405392142	0.140477341442747	6.18727572535005e − 5
0.6	0.1347902526	0.134731783666151	5.84689338488931e − 5
0.7	0.1176090956	0.117560379925558	4.87156744419098e − 5
0.8	0.0891899350	0.089157036980790	3.28980192097483e − 5
0.9	0.0498467900	0.049835942666663	1.08473333366513e − 5
1.0	0.0000000000	0.000000000000000	0.00000000000085e − 5