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Theory and Modern Applications

Table 4 Absolute errors for \(N=6\), different values of k, M, \(\alpha =1\) in Example 2

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

x = t

\(E_{LWAM}\)

k = 2, M = 3

k = 3, M = 4

k = 4, M = 5

0

2.4316e − 05

6.9503e − 10

7.8160e − 13

0.1

9.6999e − 06

6.7663e − 08

3.8961e − 09

0.2

1.3778e − 04

8.0884e − 07

8.2865e − 08

0.3

2.9538e − 05

1.2498e − 05

1.7223e − 06

0.4

2.0527e − 04

1.2532e − 05

1.1628e − 05

0.5

1.4936e − 05

2.7802e − 05

2.5275e − 05

0.6

1.9831e − 04

1.3978e − 05

1.1878e − 05

0.7

1.3270e − 04

3.3504e − 05

3.2985e − 05

0.8

2.2554e − 04

5.4850e − 05

5.1029e − 05

0.9

1.1613e − 04

2.4786e − 05

2.4947e − 06

1

1.3348e − 06

1.5250e − 07

2.9396e − 10