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Table 6 The numerical solutions of Problem 5.2 for \(t=2\), \(s=0.1\), \(\mu =0.3\), \(\gamma =0.4\), and \(\xi =0.8\)

From: Parametric quintic spline for time fractional Burger’s and coupled Burgers’ equations

x

α = 0.2

α = 0.8

PQSM

CPS [3]

PQSM

CPS [3]

−1.80

0.69990818

0.69990801

0.69995843

0.69995837

−1.50

0.69976764

0.69976704

0.69989353

0.69989305

−0.96

0.69881774

0.69881444

0.69945724

0.69945423

−0.48

0.68593695

0.69505832

0.69348579

0.69771999

0.00

0.68023291

0.68019612

0.69080108

0.69075808

0.48

0.62975137

0.62969696

0.66570607

0.66557967

0.96

0.50954256

0.50952078

0.59278878

0.59246071

1.50

0.32247745

0.32242313

0.42059669

0.41986080

1.80

0.23615545

0.23607121

0.30646604

0.30566973