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Table 1 Values of concentration C(y, t) resulting from the analytic solution Eq. (20) and the numerical algorithm applied to Eq. (18) at t = 5, Sc = 1 and \(\gamma = 0.591\)

From: A study of heat and mass transfer in a fractional MHD flow over an infinite oscillating plate

y

C(y,t), Eq. (20)

C(y,t) Eq. (18)

Absolute error

0

5

5.00001

\(6.031\times 10^{-6}\)

0.1

4.669

4.669

\(3.15\times 10^{-6}\)

0.2

4.35855

4.35856

\(1.008\times 10^{-5}\)

0.3

4.06747

4.06747

\(8.068\times 10^{-6}\)

0.4

3.79465

3.79465

\(6.578\times 10^{-6}\)

0.5

3.53903

3.53903

\(7.199\times 10^{-6}\)

0.6

3.29961

3.29961

\(4.718\times 10^{-6}\)

0.7

3.07544

3.07544

\(4.313\times 10^{-7}\)

0.8

2.86562

2.86562

\(6.646\times 10^{-6}\)

0.9

2.66929

2.6693

\(7.367\times 10^{-6}\)

1

2.48566

2.48566

\(2.036\times 10^{-6}\)