Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 4 Comparison between the RCC method and other existing methods for \(f'(0)\) with \(\lambda = 0\)

η	Runge– Kutta	RCT [27]	HAM [6]	Proposed method
η	Runge– Kutta	RCT [27]	HAM [6]	N = 26	N = 30
0	1.0000	1.0000	0.9999	1.0000	1.0000
0.2	0.8478	0.8477	0.8474	0.8477	0.8478
0.4	0.7036	0.7036	0.7028	0.7036	0.7036
0.6	0.5733	0.5732	0.5720	0.5732	0.5732
0.8	0.4599	0.4598	0.4583	0.4598	0.4598
1	0.3643	0.3641	0.3623	0.3641	0.3641
1.2	0.2855	0.2853	0.2833	0.2854	0.2854
1.4	0.2218	0.2218	0.2200	0.2218	0.2218
1.6	0.1713	0.1713	0.1698	0.1713	0.1713
1.8	0.1315	0.1316	0.1301	0.1316	0.1316
2	0.1007	0.1007	0.0991	0.1007	0.1007