Subdivision Collocation Method for One-Dimensional Bratu’s Problem

Table 7

Numerical results of (2) for case .

	Exact solution	By subdivision collection algorithm	Absolute error
0.0	0.0000000000	0.000000000000002	0.000000000000002
0.1	0.3958056990	0.395838508425970	0.000032809425970
0.2	0.7390974100	0.739653867710330	0.000556457710330
0.3	1.0087582600	1.009642835147183	0.000884575147183
0.4	1.1825366600	1.183595191371533	0.001058531371533
0.5	1.2427426900	1.243855461630791	0.001112771630791
0.6	1.1825366600	1.183595191371532	0.001058531371532
0.7	1.0087582600	1.009642835147182	0.000884575147182
0.8	0.7390974100	0.739653867710329	0.000556457710329
0.9	0.3958056990	0.395838508425968	0.000032809425968
1.0	0.0000000000	0.000000000000000	0.000000000000000