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Table 4 The comparison with exact solution

From: Homotopy perturbation method with Laplace Transform (LT-HPM) for solving Lane–Emden type differential equations (LETDEs)

\(\tau\)

LT-HPM

Exact

0.0

0.0

0.0

0.1

0.1

0.1

0.2

0.4

0.4

0.3

0.9

0.9

0.4

0.16

0.16

0.5

0.25

0.25

0.6

0.36

0.36

0.7

0.49

0.49

0.8

0.64

0.64

0.9

0.81

0.81

1.0

1.0

1.0