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Theory and Modern Applications

Table 3 Exact and approximate solutions for Example 6.1 when \(\pmb{m=5}\)

From: Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique

t

Exact solutions

Approximate solutions

CPU time (s)

0.13

−0.014703

−0.01458300000

2.480

0.24

−0.043776

−0.04365470000

2.293

\(1/\sqrt{2}\)

−0.1464466095

−0.1463252639

2.512

0.85

−0.108375

−0.1082536544

2.340

0.999

−0.000998001

−0.0008781340000

2.371