Table 4: Numerical results of Example 3.

Exact solutionLegendre waveletsAbsolute error

0.010.9999999958
0.11.0100501671.010050166
0.21.0408107741.0408107740
0.31.0941742841.094174282
0.41.1735108711.1735108710
0.51.2840254171.284025415
0.61.4333294151.433329414
0.71.6323162201.632316219
0.81.8964808791.896480878
0.92.2479079872.247907986
12.7182818282.718281824