Table 3: Numerical results of Example 2 for .

Exact solutionLegendre waveletsAbsolute error

0.0110
0.10.99833748840.99833748840
0.20.99339926790.9933992677
0.30.98532927810.98532927810
0.40.97435470360.97435470360
0.50.96076892280.96076892280
0.60.94491118260.9449111825
0.70.92714554110.9271455408
0.80.90784129920.9078412989
0.90.88735650930.8873565094
10.86602540380.86602540380