Table 9: A comparison of absolute errors between Lps and present method.

Exact solution Legendre polynomial solutions [6] Present method

−1.0 −0.8414709848
−0.8 −0.7173560909
−0.6 −0.5646424734
−0.4 −0.3894183423
−0.2 −0.1986693308
0.0 0.0
0.2 0.1986693308
0.4 0.3894183423
0.6 0.5646424734
0.8 0.7173560909
1.0 0.8414709848