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Table 4 Comparison of the Van der Pol oscillator response for the present solution and the ode15s solution with μ = 20

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

1.8204

1.8199

5.00E−04

10

1.5981

1.5971

1.00E−03

15

1.2545

1.2517

2.80E−03

20

− 1.9086

− 1.9075

1.10E−03

25

− 1.7097

− 1.7075

2.20E−03

30

− 1.445

− 1.4409

4.10E−03

35

1.9901

1.9884

1.70E−03

40

1.8081

1.8055

2.60E−03

45

1.582

1.5784

3.60E−03

50

1.2195

1.2104

9.10E−03