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Theory and Modern Applications

Table 2 Absolute errors for \(N=8\), different values of M, \(\alpha =1\) in Example 1

From: Solving partial fractional differential equations by using the Laguerre wavelet-Adomian method

x = t

\(E_{LWAM}\)

k = 2, M = 3

k = 2, M = 4

k = 2, M = 5

k = 2, M = 6

0

4.6930e − 05

1.0559e − 05

1.8124e − 07

5.9985e − 08

0.1

1.5318e − 04

2.3859e − 04

3.2965e − 05

1.5931e − 05

0.2

5.2275e − 04

3.9222e − 05

3.0829e − 05

1.5770e − 05

0.3

9.9374e − 04

2.2407e − 04

3.8803e − 05

1.2037e − 05

0.4

1.4868e − 03

4.0119e − 04

9.3107e − 05

1.9967e − 05

0.5

1.9331e − 03

6.9119e − 04

2.1975e − 04

2.0484e − 05

0.6

1.4577e − 03

6.5306e − 04

1.4629e − 04

1.0167e − 05

0.7

4.2596e − 04

1.7905e − 05

6.3265e − 05

5.0338e − 05

0.8

1.9582e − 04

1.5374e − 05

3.1038e − 05

3.0724e − 05

0.9

2.4997e − 04

8.9176e − 05

7.1429e − 06

1.7008e − 06

1

1.7706e − 03

4.4301e − 04

5.0532e − 06

7.7092e − 07