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Theory and Modern Applications

Table 2 LADM solutions of Example 1 at different fractional order β and its corresponding absolute error (A.E) of v 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

1.484E−02

5.308E−03

9.949E−04

9.994E−05

0.2

0.2

2.969E−02

1.061E−02

1.989E−03

1.998E−04

0.3

0.3

4.454E−02

1.592E−02

2.984E−03

2.998E−04

0.4

0.4

5.938E−02

2.123E−02

3.979E−03

3.997E−04

0.5

0.5

7.423E−02

2.654E−02

4.974E−03

4.997E−04