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Table 3 Comparison of the approximate solutions Hermite wavelet method [33], Bernoulli wavelet method [32], and the present method with the exact solution for example 3

From: Spectral Tau method for solving general fractional order differential equations with linear functional argument

x

Exact

Present method

[33] (N=7)

[32] (N=7)

Present method

Present method

 

solution

(N=6) α=3

α=3

α=3

(N=6) α=2.8

(N=6) α=2.6

0

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

0.2

0.8187

0.8187

0.8187

0.8187

0.8185

0.8185

0.4

0.6703

0.6703

0.6703

0.6703

0.6685

0.6682

0.6

0.5488

0.5488

0.5488

0.5488

0.5480

0.5488

0.8

0.4493

0.4493

0.4494

0.4493

0.4366

0.4281