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Theory and Modern Applications

Table 1 LADM solutions of Example 1 at different fractional order β and its corresponding absolute error (A.E) of u at \(\tau =0.5\)

From: Laplace decomposition for solving nonlinear system of fractional order partial differential equations

ξ

η

A.E (β = 0.55)

A.E (β = 0.75)

A.E [β = 1 (j = 5)]

A.E [β = 1 (j = 6)]

0.1

0.1

1.639E−02

5.828E−03

1.000E−03

2.000E−04

0.2

0.2

3.278E−02

1.165E−02

2.000E−03

4.000E−04

0.3

0.3

4.917E−02

1.748E−02

3.000E−03

6.000E−04

0.4

0.4

6.556E−02

2.331E−02

4.000E−03

8.000E−04

0.5

0.5

8.196E−02

2.914E−02

5.000E−03

1.000E−03