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Theory and Modern Applications

Table 3 A comparison between the RCC method and other existing methods with the values for \(f''(0)\)

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

λ

Runge–Kutta

HAM [6]

RCT [27]

Method in [38]

RCC method N = 26

0

−0.76854

−0.77363

−0.76600

−0.769

−0.768659

1/4

−0.88498

−0.88800

−0.88830

–

−0.885073

1/3

−0.92101

−0.92433

−0.92100

−0.921

−0.921085

1/2

−0.98956

−0.99382

−0.98581

−0.992

−0.989664

3/4

−1.08518

−1.08840

−1.08598

–

−1.08526

1

−1.17372

−1.17686

−1.17040

–

−1.17375