Optimization Solution of Troesch’s and Bratu’s Problems of Ordinary Type Using Novel Continuous Genetic Algorithm

Table 4

Numerical results for Bratu’s problem when 𝜇=2.

𝑥𝑖	Exact value	Approximate value	|Err(𝑥𝑖)|	|Res(𝑥𝑖)|
0	0	0	0	0
0.1	0.1144107440	0.1144123667	1.62268051×10^−6	3.02045290×10^−5
0.2	0.2064191156	0.2064220793	2.96373587×10^−6	5.97375566×10^−5
0.3	0.2738793116	0.2738831613	3.84970866×10^−6	3.98775778×10^−5
0.4	0.3150893646	0.3150937394	4.37480887×10^−6	3.42529172×10^−5
0.5	0.3289524214	0.3289570153	4.59390598×10^−6	4.43231785×10^−5
0.6	0.3150893646	0.3150937944	4.42984785×10^−6	4.44801409×10^−5
0.7	0.2738793116	0.2738831212	3.80957282×10^−6	2.65423819×10^−5
0.8	0.2064191156	0.2064219434	2.82777504×10^−6	2.22101666×10^−5
0.9	0.1144107440	0.1144123281	1.58406997×10^−6	3.81609672×10^−5
1	0	0	0	0