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Table 4 Comparison between the exact and approximation solutions for \(\phi (\chi ,\sigma ,t)\)

From: Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation

Exact

The method

Error

The method

Error

β = 1

β = 0.95

β = 0.99

−1.0000

−1.0000

0

−1.0000

0

−1.0941

−1.1094

0.0153

−1.0970

0.0029

−1.1725

−1.1956

0.0231

−1.1769

0.0045

−1.2280

−1.2560

0.0280

−1.2335

0.0054

−1.2522

−1.2826

0.0304

−1.2581

0.0060

−1.2344

−1.2650

0.0306

−1.2404

0.0060

−1.1622

−1.1909

0.0286

−1.1679

0.0057

−1.0211

−1.0456

0.0245

−1.0260

0.0049

−0.7939

−0.8122

0.0183

−0.7976

0.0036

−0.4610

−0.4711

0.0101

−0.4630

0.0020

0

0

0

0

0