Table 3 Assessment of the numerical values of \({-F}^{{^{\prime}}{^{\prime}}}\left(0\right)\) achieved by means of modified Chebyshev wavelets method with already existing results21,40 when \(M=0.\)

From: Numerical assessment of heat and mass transportation in \(\upgamma {\mathrm{Al}}_{2}{\mathrm{O}}_{3}{-}{\mathrm{H}}_{2}\mathrm{O}/{\mathrm{C}}_{2}{\mathrm{H}}_{6}{\mathrm{O}}_{2}\) nanofluids influenced by Soret and Dufour effects

\(\lambda\)

Error with41

Error with21

Error with RK

0.2

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

\({10}^{-6}\)

\({10}^{-6}\)

0.5

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

\({10}^{-6}\)

\({10}^{-6}\)

2

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

\({10}^{-6}\)

\({10}^{-6}\)

5

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

\({10}^{-6}\)

\({10}^{-6}\)

10

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

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

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

50

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

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

\({10}^{-6}\)