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

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 5 Comparison between RCC and other methods for \(f'(0)\) with \(\lambda = 1/2\)

η	Runge– Kutta	RCT [27]	HAM [6]	Proposed method
η	Runge– Kutta	RCT [27]	HAM [6]	N = 26	N = 30
0	1.0000	0.9999	1.0004	1.0000	1.0000
0.2	0.8130	0.8130	0.8125	0.8129	0.8129
0.4	0.6500	0.6500	0.6491	0.6499	0.6499
0.6	0.5124	0.5125	0.5111	0.5124	0.5124
0.8	0.3994	0.3994	0.3977	0.3993	0.3993
1	0.3084	0.3084	0.3063	0.3084	0.3084
1.2	0.2364	0.2364	0.2347	0.2364	0.2364
1.4	0.1802	0.1802	0.1785	0.1802	0.1802
1.6	0.1367	0.1367	0.1352	0.1368	0.1367
1.8	0.1034	0.1034	0.1020	0.1034	0.1034
2	0.0780	0.0779	0.0763	0.0780	0.0780