Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

Table 6

Comparison of exact solution 𝑦_exact and solution by the wavelet-Galerkin method with quasilinearization technique 𝑦_NEW at second iteration: level of resolutions 𝐽=13 and 𝐷10 is used as Galerkin bases.

Second iteration	𝐽=13
𝑥	𝑦NEW	𝑦exact	Absolute error
0.1	0.0100320512	0.0099900000	4.2051152889𝑒−005
0.2	0.0397617227	0.0396800000	8.1722744304𝑒−005
0.3	0.0876864075	0.0875700000	1.1640750572𝑒−004
0.4	0.1499017545	0.1497600000	1.4175454098𝑒−004
0.5	0.2189016605	0.2187500000	1.5166050983𝑒−004
0.6	0.2823782628	0.2822400000	1.3826276219𝑒−004
0.7	0.3220219443	0.3219300000	9.1944320423𝑒−005
0.8	0.3123213602	0.3123199999	1.3602317094𝑒−006
0.9	0.2193634808	0.2195099999	1.4651915492𝑒−004