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Table 1 Comparison of numerical results of the temperature profile

From: The analysis of a reactive hydromagnetic internal heat generating poiseuille fluid flow through a channel

\(H=1,G=1,\delta =1,\gamma =1,\lambda =0.5\)

y

PM (Makinde and Beg 2010)

\(ADM (\beta =0)\)

Absolute error

\(ADM (\beta =0.5)\)

−1.0

0

0.0002178316

\(2.1783 \times 10^{-4}\)

0.0003681026

−0.75

0.1556934861

0.1577379743

\(2.0445\times 10^{-3}\)

0.1771365903

−0.50

0.2660663845

0.2691056991

\(3.0396\times 10^{-3}\)

0.3046016196

−0.25

0.3323243479

0.3358417798

\(3.5177\times 10^{-3}\)

0.3819272135

0

0.3544502181

0.3581076494

\(3.6578\times 10^{-3}\)

0.4078774354

0.25

0.3323243479

0.3358417798

\(3.5177\times 10^{-3}\)

0.3819272135

0.50

0.2660663845

0.2691056991

\(3.0396\times 10^{-3}\)

0.3046016196

0.75

0.1556934861

0.1577379743

\(2.0445\times 10^{-3}\)

0.1771365903

1.0

0

0.0002178316

\(2.1783 \times 10^{-4}\)

0.0003681026