Table 2.

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

a	Critical load $\sqrt{\alpha }$
	Exact solution [45]	HAM solution
0.1	2.86277	2.86277
0.2	2.65366	2.65366
0.3	2.49840	2.49840
0.4	2.38064	2.38064
0.5	2.28893	2.28893
0.6	2.21571	2.21571
0.7	2.15598	2.15598
0.8	2.10638	2.10638
0.9	2.06453	2.06453
1	2.02876	2.02876