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Table 6 Comparison of the Van der Pol oscillator response for the present solution and the ode15s solution with μ = 100

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

1.9662

1.9662

0.00E+00

10

1.9314

1.9313

1.00E−04

15

1.8954

1.8953

1.00E−04

20

1.8582

1.8581

1.00E−04

25

1.8196

1.8195

1.00E−04

30

1.7794

1.7793

1.00E−04

35

1.7374

1.7373

1.00E−04

40

1.6932

1.6931

1.00E−04

45

1.6466

1.6464

2.00E−04

50

1.5968

1.5966

2.00E−04