A Multiple-Step Legendre-Gauss Collocation Method for Solving Volterra’s Population Growth Model

Table 1

A comparison of methods in [23, 27–29] and the present method with the exact values for 𝑢_max.

𝜅	ADM [23]	CSF [27]	RCC [29]	HBL [28]	ℎ	𝑁	Present	Exact 𝑢max
0.02	0.9038380533	0.9234262	0.92342715	0.9234271721	0.1	28	0.92342717207027	0.92342717207022
0.04	0.861240177	0.8737192	0.87371998	0.8737199832	0.15	22	0.87371998315393	0.87371998315399
0.1	0.7651130834	0.7697409	0.76974149	0.7697414907	0.25	19	0.76974149070061	0.76974149070060
0.2	0.6579123080	0.6590497	0.65905038	0.6590503815	0.5	18	0.65905038155231	0.65905038155231
0.5	0.4852823482	0.4851898	0.48519030	0.4851902914	1.0	20	0.48519029140942	0.48519029140942