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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