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Table 2 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

Error (LT-HPM)

0.1

0.9983341665

0.998334166

−5E−10

0.2

0.993346654

0.993346654

−0E+0

0.3

0.9850673555

0.9850673555

−0E+0

0.4

0.9735458558

0.9735458558

−0E+0

0.5

0.9588510772

0.9588510772

−0E+0

0.6

0.9410707891

0.941070789

−1E−10

0.7

0.9203109825

0.9203109818

−7E−10

0.8

0.8966951163

0.8966951136

−2.7E−9

0.9

0.8703632416

0.8703632329

−8.7E−9

1.0

0.8414710097

0.8414709848

−2.49E−8