Research Article

Subdivision Collocation Method for One-Dimensional Bratu’s Problem

Table 2

Comparison between the numerical results of (2) for .

Exact solutionBy [25]By subdivision collection algorithm

0.00.00000000000.00000000000.000000000000000
0.10.04984679000.04716168750.049835942666664
0.20.08918993500.08716800000.089157036980790
0.30.11760909560.11776143750.117560379925558
0.40.13479025260.13699200000.134731783666151
0.50.14053921420.14355468750.140477341442747
0.60.13479025260.13699200000.134731783666151
0.70.11760909560.11776143750.117560379925558
0.80.08918993500.08716800000.089157036980790
0.90.04984679000.04716168750.049835942666663
1.00.00000000000.00000000000.000000000000000