An Efficient Approach for Solving Nonlinear Troesch’s and Bratu’s Problems by Wavelet Analysis Method

Table 6

Obtained absolute errors for 𝜆=2.

𝑡	Present method	NPSM	LGSM	Decomposition	Laplace	B-spline
	𝑀=10,𝑘=3	[31]	[35]	[6]	[30]	[32]
0.1	2.03×10^−18	9.71×10^−9	4.03×10^−6	1.52×10^−2	2.13×10^−3	1.72×10^−5
0.2	9.58×10^−18	1.41×10^−8	5.70×10^−6	1.47×10^−2	4.21×10^−3	3.26×10^−5
0.3	2.86×10^−17	1.98×10^−8	5.22×10^−6	5.89×10^−3	6.19×10^−3	4.49×10^−5
0.4	5.44×10^−17	2.42×10^−8	3.07×10^−6	3.25×10^−3	8.00×10^−3	5.28×10^−5
0.5	6.87×10^−17	2.60×10^−8	1.46×10^−8	6.98×10^−3	9.60×10^−3	5.56×10^−5
0.6	5.44×10^−17	2.42×10^−8	3.05×10^−6	3.25×10^−3	1.09×10^−3	5.28×10^−5
0.7	2.86×10^−17	1.98×10^−8	5.19×10^−6	5.89×10^−3	1.19×10^−2	4.49×10^−5
0.8	9.58×10^−18	1.41×10^−8	5.68×10^−6	1.47×10^−2	1.24×10^−2	3.26×10^−5
0.9	2.03×10^−18	9.71×10^−9	4.01×10^−6	1.52×10^−2	1.09×10^−2	1.72×10^−5