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Table 5 The comparison of the proposed and existing methods in terms of \(L_{2}\) and \(L_{\infty }\) with \(\sigma\) = 0.5, \(\alpha\) = 0.5, \(M\) = 80, and \(\hat{\nu }\) = 1 at \(t\) = 1

From: A hybrid B-spline collocation technique for the Caputo time fractional nonlinear Burgers’ equation

 

\(L_{2}\)

\(L_{\infty }\)

\(\Delta t\)

Present

QBSG method [19]

Present

QBSG method [19]

0.002

5.1434e−06

6.60788e−04

6.9801e−06

9.36619e−04

0.001

2.4367e−06

4.47720e−04

3.2687e−06

6.25018e−04

0.0005

1.4914e−06

1.61833e−04

1.9858e−06

2.27352e−04

0.00025

1.0339e−06

9.2624e−05

1.3741e−06

1.33125e−04