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

Table 1

Obtained absolute errors of Troesch's problem for 𝜆=0.5.

𝑡	Chebyshev wavelet	Laplace	HPM	HAM	Spline	VIM
	𝑀=4,𝑘=1	[9]	[7]	[18]	[10]	[7]
0.1	7.6×10^−4	7.7×10^−4	8.2×10^−4	7.7×10^−4	7.7×10^−4	4.9×10^−3
0.2	1.5×10^−3	1.5×10^−3	1.6×10^−3	1.5×10^−3	1.5×10^−3	9.7×10^−3
0.3	2.1×10^−3	2.1×10^−3	2.3×10^−3	2.1×10^−3	2.1×10^−3	1.4×10^−2
0.4	2.7×10^−3	2.7×10^−3	2.9×10^−3	2.7×10^−3	2.7×10^−3	1.9×10^−2
0.5	3.0×10^−3	3.0×10^−3	3.2×10^−3	3.0×10^−3	3.0×10^−3	2.3×10^−2
0.6	3.1×10^−3	3.1×10^−3	3.4 ×10^−3	3.1×10^−3	3.1×10^−3	2.8×10^−2
0.7	3.0×10^−3	3.0×10^−3	3.2×10^−3	3.0×10^−3	3.0×10^−3	3.2×10^−2
0.8	2.4×10^−3	2.4×10^−3	2.7×10^−3	2.4×10^−3	2.4×10^−3	3.6×10^−2
0.9	1.5×10^−3	1.5×10^−3	1.6×10^−3	1.5×10^−3	1.5×10^−3	4.0×10^−2