Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

Table 1

Comparison of exact solution 𝑦_exact and solution by the wavelet-Galerkin method with quasilinearization technique 𝑦_NEW at second iteration: level of resolution 𝐽=13 and 𝐷16 is used as Galerkin bases.

Third iteration	𝐽=13
𝑥	𝑦NEW	𝑦exact	Absolute error
0.1	1.0022𝑒−2	1.0𝑒−2	2.2423𝑒−5
0.2	4.0045𝑒−2	4.0𝑒−2	4.4852𝑒−5
0.3	9.0067𝑒−2	9.0𝑒−2	6.7318𝑒−5
0.4	1.6009𝑒−1	1.6𝑒−1	8.9901𝑒−5
0.5	2.5011𝑒−1	2.5𝑒−1	1.1275𝑒−4
0.6	3.6014𝑒−1	3.6𝑒−1	1.3613𝑒−4
0.7	4.9016𝑒−1	4.9𝑒−1	1.6038𝑒−4
0.8	6.4019𝑒−1	6.4𝑒−1	1.8602𝑒−4
0.9	8.1021𝑒−1	8.1𝑒−1	2.1369𝑒−4