Table 7: Comparison of the exact eigenvalues with approximate eigenvalues obtained from Numerov’s method ( ) with correction and TDM ( ) for Example 3.3 corresponding to .


1 0.0000000
2 37.7596285
3 37.8059002
4 37.8525995
5 70.5475097
6 92.6538177
7 96.2058159
8 102.254347

for Taylor’s decomposition method.