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Table 1 Comparison of the Van der Pol oscillator response for the present solution and the ode15s solution with μ = 0.1

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

0.4717

0.4678

3.90E−03

10

− 1.702

− 1.7065

4.50E−03

15

− 1.4805

− 1.4742

6.30E−03

20

0.9124

0.9212

8.80E−03

25

1.9825

1.9818

7.00E−04

30

0.1739

0.1601

1.38E−02

35

− 1.8363

− 1.8398

3.50E−03

40

− 1.2532

− 1.2413

1.19E−02

45

1.1564

1.1659

9.50E−03

50

1.915

1.9105

4.50E−03