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Table 2 Comparison of the Van der Pol oscillator response for the present solution and the ode15s solution with μ = 1

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

− 0.837

− 0.8366

4.00E−04

10

− 2.009

− 2.0083

7.00E−04

15

0.8315

0.8304

1.10E−03

20

2.0088

2.0082

6.00E−04

25

− 0.8259

− 0.8241

1.80E−03

30

− 2.0086

− 2.008

6.00E−04

35

0.8204

0.8179

2.50E−03

40

2.0084

2.0077

7.00E−04

45

− 0.8148

− 0.8116

3.20E−03

50

− 2.0081

− 2.0074

7.00E−04