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Table 1 Absolute error between approximate and exact solutions at t = 0.3 for Example 2

From: Numerical solution of the one-dimensional fractional convection diffusion equations based on Chebyshev operational matrix

x

Exact solution

M = N = 3

M = N = 5

M = N = 7

0.1

0.0003

1.63e−005

3.06e−006

2.68e−006

0.2

0.0024

4.85e−005

2.08e−006

1.42e−006

0.3

0.0082

5.24e−005

2.60e−007

2.06e−006

0.4

0.0195

3.67e−005

9.20e−007

4.50e−007

0.5

0.0381

1.04e−005

9.70e−007

6.90e−007

0.6

0.0658

1.76e−005

1.10e−007

6.00e−007

0.7

0.1045

3.85e−005

1.10e−006

7.00e−008

0.8

0.1559

4.33e−005

1.98e−006

3.90e−007

0.9

0.2220

2.33e−005

2.14e−006

1.84e−006