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Table 3 Comparison of the Van der Pol oscillator response for the present solution and the ode15s solution with μ = 10

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

1.6022

1.6017

5.00E−04

10

− 1.9713

− 1.9715

2.00E−04

15

− 1.5541

− 1.5531

1.00E−03

20

1.9396

1.9392

4.00E−04

25

1.5022

1.5004

1.80E−03

30

− 1.907

− 1.9064

6.00E−04

35

− 1.4456

− 1.4429

2.70E−03

40

1.8734

1.8741

7.00E−04

45

1.3824

1.383

6.00E−04

50

− 1.8386

− 1.8395

9.00E−04