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Table 1 Approximate solutions, exact solutions, and error estimates for the Elzaki iterative transformation method when α is 1 for Example 2

From: Application of the Elzaki iterative method to fractional partial differential equations

t

x

E.S

A.S

E.E

u

v

w

u

v

w

u

v

w

0.1

−10

0.33

−1.47E − 04

0.901

0.33

−1.47E − 04

0.9

3.13E − 05

4.39E − 09

9.68E − 04

0

0.33

−1.33E − 04

1.000

0.33

−1.33E − 04

1

3.33E − 05

1.33E − 08

1.00E − 03

10

0.33

−1.99E − 04

1.100

0.33

−1.20E − 04

1.1

3.14E − 05

−7.93E − 05

1.03E − 03

5

−10

0.33

−1.40E − 04

0.950

0.33

−1.40E − 04

0.9

−3.55E − 06

−4.41E − 09

4.97E − 02

0

0.33

−1.27E − 04

1.050

0.33

−1.27E − 04

1

1.00E − 04

−4.80E − 09

5.00E − 02

10

0.33

−1.13E − 04

1.140

0.33

−1.13E − 04

1.1

6.04E − 05

−7.05E − 08

4.92E − 02

50

−10

0.33

−1.33E − 04

1.000

0.33

−1.33E − 04

0.9

−5.97E − 06

2.35E − 08

9.97E − 02

0

0.33

−1.20E − 04

1.100

0.33

1.20E − 04

1

1.99E − 06

−2.40E − 04

9.97E − 02

10

0.33

−1.07E − 04

1.197

0.33

−1.07E − 04

1

9.79E − 06

−2.38E − 07

9.78E − 02

  1. Source: The above data were obtained from the authors through matlab calculations, excel summaries and written in latex.
  2. E.S denotes the exact solution.
  3. A.S denotes the approximate solution.
  4. E.E indicates the error estimate.