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Table 2 Comparison of the absolute error of the u N (x, t) with other methods for t = 1 for the Example 2

From: Numerical solutions and error estimations for the space fractional diffusion equation with variable coefficients via Fibonacci collocation method

x Tau method (Saadatmandi and Dehghan 2011) Present method Tau method (Saadatmandi and Dehghan 2011) Present method
m = 6 m = 7
0.1 5.35e−5 4.19e−6 4.66e−5 9.81e−7
0.2 1.11e−4 1.11e−6 7.74e−5 1.60e−6
0.3 1.19e−4 1.89e−6 5.00e−5 1.64e−6
0.4 7.65e−5 4.40e−6 2.30e−5 1.69e−6
0.5 4.06e−5 6.04e−6 2.74e−5 1.58e−6
0.6 3.30e−5 6.74e−6 4.38e−5 1.34e−6
0.7 4.42e−5 6.46e−6 3.87e−5 1.11e−6
0.8 5.38e−5 5.20e−6 1.01e−5 9.92e−7
0.9 2.79e−5 2.99e−6 3.35e−6 8.73e−7