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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 11 Comparing approximate solution of the RCC method with Runge–Kutta of fourth order at \(m=3\)

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

x

Runge–Kutta

RCC method

N = 20

N = 25

0.0

1

1

1

0.2

0.99337307946

0.9933731281

0.9933730891

0.4

0.97395825015

0.9739582909

0.9739582516

0.6

0.94307317012

0.9430732051

0.9430731688

0.8

0.90267208835

0.9026721177

0.9026720857

1.0

0.85505756895

0.8550575927

0.8550575657

1.2

0.80259192167

0.8025919339

0.8025919183

1.4

0.74746481001

0.7474648231

0.7474648054

1.6

0.69154411316

0.6915439103

0.6915440763

1.8

0.63630944306

0.6363094342

0.6363090646

2.0

0.58285051702

0.5828504530

0.5828481005

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