Table 3.

Comparison of exact and HAM solutions of critical buckling loads for the column in Figure 1(b) with η ₁ = −a, η ₂ = 0, and ξ = ∞.

a	Critical load $\sqrt{\alpha }$
	Exact solution [45]	HAM solution
0.1	1.428870	1.428870
0.2	1.313840	1.313840
0.3	1.219950	1.219950
0.4	1.142230	1.142230
0.5	1.076870	1.076870
0.6	1.021110	1.021110
0.7	0.972911	0.972911
0.8	0.930757	0.930757
0.9	0.893519	0.893519
1	0.860334	0.860334