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Table 1 Comparison of the values of exact and approximate solutions of the problem (37) for x values for example 2

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

x

Exact

Present method

[12] (N=8),

[12] (N=8),

 

solution

(N=5)

a=0,b=0

a=−0.5,b=0.5

0

0.0000

0.0000

− 0.0000

− 0.0000

0.2

0.0400

0.0400

0.0400

0.0400

0.4

0.1600

0.1600

0.1600

0.1600

0.6

0.3600

0.3600

0.3600

0.3600

0.8

0.6400

0.6400

0.6400

0.6400

1

1.0000

1.0000

1.0122

1.0208