Table 3 The validation of the current results against the published literature for \(- \left( {f^{\prime\prime}\left( 0 \right)} \right)\).

From: Energy transmission through radiative ternary nanofluid flow with exponential heat source/sink across an inclined permeable cylinder/plate: numerical computing

Pm

Madhukesh et al.37,\(- \left( {f^{\prime\prime}\left( 0 \right)} \right)\)

Present work,\(- \left( {f^{\prime\prime}\left( 0 \right)} \right)\)

SRM

Analytical

RK-45

bvp4c

Error

1.0

1.414313567

1.41431357

1.4143376

1.41433782

0.001029

2.0

1.73215082

1.73215082

1.7321518

1.73215193

0.001035

3.0

2.44958975

2.44958975

2.4495898

2.44958994

0.002069

4.0

3.31672480

3.31672480

3.3167248

3.31672499

0.001745

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