Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

Table 2

Comparison of exact solution 𝑦_exact, solution by decomposition method 𝑦_DM, and solution by the wavelet-Galerkin method with quasilinearization technique 𝑦_NEW at second iteration and 𝐷12 is used as Galerkin bases.

		𝜆=1
Second iteration		𝐽=13
𝑥	𝑦DM [17]	𝑦NEW	𝑦exact
0.1	0.0471616875	0.0498386633	0.0498467900
0.2	0.0871680000	0.0891737644	0.0891899350
0.3	0.1177614375	0.1175850602	0.1176090956
0.4	0.1369920000	0.1347586231	0.1347902526
0.5	0.1435546875	0.1405003497	0.1405392142
0.6	0.1369920000	0.1347446015	0.1347902526
0.7	0.1177614375	0.1175571769	0.1176090956
0.8	0.0871680000	0.0891323318	0.0891899350
0.9	0.0471616875	0.0497841328	0.0498467900