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

Boundary Value Problems

Table 2 Comparison between the exact and approximation solutions for \(\phi (\chi ,\sigma ,t)\)

Exact	The method	Error	The method	Error
β = 1	β = 0.95	Error	β = 0.99	Error
0	0	0	0	0
−0.6000	−0.6777	0.0777	−0.6148	0.0148
−1.2000	−1.3554	0.1554	−1.2295	0.0295
−1.8000	−2.0331	0.2331	−1.8443	0.0443
−2.4000	−2.7108	0.3108	−2.4591	0.0591
−3.0000	−3.3886	0.3886	−3.0739	0.0739
−3.6000	−4.0663	0.4663	−3.6886	0.0886
−4.2000	−4.7440	0.5440	−4.3034	0.1034
−4.8000	−5.4217	0.6217	−4.9182	0.1182
−5.4000	−6.0994	0.6994	−5.5330	0.1330
−6.0000	−6.7771	0.7771	−6.1477	0.1477