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Theory and Modern Applications

Table 2 The absolute error of \(u(x, t)\) for different values of m

From: Numerical solution for the time-fractional Fokker–Planck equation via shifted Chebyshev polynomials of the fourth kind

x

m = 3

m = 4

m = 5

0.1

7.412 × 10−5

4.247 × 10−7

1.643 × 10−9

0.2

3.480 × 10−4

9.382 × 10−6

4 × 10−9

0.3

3.6 × 10−4

6.588 × 10−6

2.553 × 10−9

0.4

1.921 × 10−4

8.434 × 10−6

7.484 × 10−9

0.5

9.101 × 10−4

4.486 × 10−6

3.56 × 10−9

0.6

4.662 × 10−3

4.112 × 10−6

2.584 × 10−9

0.7

3.814 × 10−3

7.1 × 10−6

1.676 × 10−11

0.8

6.372 × 10−4

6 × 10−6

3 × 10−9

0.9

2.810 × 10−4

3.254 × 10−6

7.809 × 10−9

1

2.343 × 10−4

5.918 × 10−6

6.521 × 10−9