Table 2 Error estimation results for Burgers’ equation

\(\{ \sigma _{1i}, \sigma _{2i}\}\)

1

5.4124, 5.4124

\(1.1299\times 10^{-3}\)

32.4786

2

31.6141, 1.383

\(1.0259\times 10^{-3}\)

3.2407

3

2.9603, 1.0818

\(1.0746\times 10^{-3}\)

\(4.2125\times 10^{-1}\)

4

\(9.2633 -11.3351\iota ,24.9534\)

\(1.416\times 10^{-4}\)

\(4.3411\times 10^{-4}\)

5

\(7.4119 - 3.622\iota ,1.0818\)

\(1.785\times 10^{-5}\)

\(1.7869\times 10^{-5}\)