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Table 9 The numerical solution of Problem 5.3 for \(t=1\), \(h= 0.1\), and \(k=0.01\)

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

x

α = β = 0.2

α = β = 0.6

α = β = 0.9

0.1

0.0421081

0.0394294

0.0376431

0.2

0.0833382

0.0783387

0.0748691

0.3

0.1230931

0.1161984

0.1112536

0.4

0.1607006

0.1524908

0.1463852

0.5

0.1955216

0.1867052

0.1798625

0.6

0.2269384

0.2183411

0.2112986

0.7

0.2543721

0.2469104

0.2403234

0.8

0.2772507

0.2719389

0.2665878

0.9

0.2949838

0.2929689

0.2897663