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Beni-Suef University Journal of Basic and Applied Sciences

Table 5 Comparison of the Van der Pol oscillator response for the present solution and the ode15s solution with μ = 50

From: Novel approach for solving higher-order differential equations with applications to the Van der Pol and Van der Pol–Duffing equations

t

x(t) present

x(t) ode15s

Absolute error

5

1.9315

1.9314

1.00E−04

10

1.8583

1.8582

1.00E−04

15

1.7795

1.7793

2.00E−04

20

1.6934

1.6929

5.00E−04

25

1.597

1.5963

7.00E−04

30

1.4849

1.4839

1.00E−03

35

1.3435

1.342

1.50E−03

40

1.0932

1.0875

5.70E−03

45

− 1.9493

− 1.9488

5.00E−04

50

− 1.8774

− 1.8768

6.00E−04

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