Table 4: It shows comparison of the OHAM solution (3.18) with the exact solution and the errors obtained by decomposition method (ADM) [19], homotopy perturbation method (HPM) [24], and the variational iteration method [22]. It is clear from the results that the method we applied is more efficient and accurate than the other methods.

Exact solution OHAM sol (3.18) (3.18) (ADM) (HPM) (VIM) 0.0 1 1 0 0 0 0 0.1 0.904837418 0.904837418 0.2 0.818730753 0.818730753 0.3 0.740818221 0.740818221 0.4 0.670320046 0.670320046 0.5 0.60653066 0.60653066 0.6 0.548811636 0.548811636 0.7 0.496585304 0.496585304 0.8 0.449328964 0.449328965 0.9 0.40656966 0.40656966 1.0 0.367879441 0.367879441

= exact − approximate.