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Theory and Modern Applications

Table 3 The maximum absolute error for different M, N, n and α corresponding to Problem 3 at \(t=1\)

From: On the approximation of time-fractional telegraph equations using localized kernel-based method

N = 50, n = 6

M

α = 1.25

α = 1.5

α = 1.75

α = 1.95

E

 

5

1.0734

1.0734

1.0734

1.0734

7.2328

 

7

0.0242

0.0242

0.0242

0.0242

5.9685

 

10

0.0086

0.0086

0.0086

0.0086

4.4187

 

20

9.4927e−005

9.4845e−005

9.4752e−005

9.4650e−005

1.5582

 

30

1.8743e−005

1.8332e−005

1.7849e−005

1.7310e−005

0.5373

 

50

1.1274e−005

1.0852e−005

1.0357e−005

9.8078e−006

0.0625