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Table 5 Comparison of the values of exact, approximate solutions for different values of x and the absolute errors at τ=0.001 for example 4

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

x Exact Suggested method absolute error absolute error
  solution (N=7) (N=7) [33]
0 0.00000 0.00000 0 0
0.2 − 0.16000 − 0.16000 5.82 × 10−16 1.94 × 10−16
0.4 − 0.24000 − 0.24000 5.55 × 10−16 3.33 × 10−16
0.6 − 0.24000 − 0.24000 4.44 × 10−16 8.60 × 10−14
0.8 − 0.16000 − 0.16000 3.33 × 10−16 8.57 × 10−14
1 0.00000 0.00000 0 0