Table 6 PCM and bvp4c methods comparison for \(Ag\): when \(\phi_{Ag} = 0.04,\,\,\phi_{MgO} = 0.02,\,\,Pr = 6.3,\,Re_{\Omega } = 0.13,\,\,Re_{\omega } = 0.3.\)

From: Parametric estimation of gyrotactic microorganism hybrid nanofluid flow between the conical gap of spinning disk-cone apparatus

No.

PCM

bvp4c

\({\text{Absolute}}\,{\text{Error}}\)

1

\(1.63 \times 10^{ - 11}\)

\(6.325 \times 10^{ - 17}\)

\(4.3298 \times 10^{ - 14}\)

2

\(4.23 \times 10^{ - 12}\)

\(3.834 \times 10^{ - 20}\)

\(2.7139 \times 10^{ - 15}\)

3

\(4.69 \times 10^{ - 12}\)

\(2.8489 \times 10^{ - 19}\)

\(4.6682 \times 10^{ - 16}\)

4

\(7.429 \times 10^{ - 14}\)

\(8.449 \times 10^{ - 20}\)

\(7.6659 \times 10^{ - 17}\)

5

\(6.898 \times 10^{ - 14}\)

\(4.8378 \times 10^{ - 20}\)

\(8.7392 \times 10^{ - 17}\)