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Table 2 Numerical results at m=3 and Re=1

From: Approximate solutions for MHD squeezing fluid flow by a novel method

x

OHAM

Numerical solution (RK-4)

Approximate solution RKHSM

Absolute error

Relative error

Time (s)

0.1

0.13709

0.137044

0.13704399924397146430

7.56 × 10−10

5.51 × 10−9

3.261

0.2

0.272583

0.272494

0.27249400041809657591

4.18 × 10−10

1.53 × 10−9

3.542

0.3

0.404759

0.404637

0.40463699937791012358

6.22 × 10−10

1.53 × 10−9

2.949

0.4

0.531649

0.531508

0.53150799980699743080

1.93 × 10−10

3.63 × 10−10

3.541

0.5

0.650894

0.650756

0.65075599905912100256

9.4 × 10−10

1.44 × 10−9

3.089

0.6

0.759591

0.759478

0.75947799979255971384

2.07 × 10−10

2.73 × 10−10

2.996

0.7

0.854106

0.854035

0.85403499924057783299

7.59 × 10−10

8.89 × 10−10

3.026

0.8

0.929845

0.929817

0.92981700082221438640

8.22 × 10−10

8.84 × 10−10

7.582

0.9

0.980966

0.980963

0.98096299961587653980

3.84 × 10−10

3.91 × 10−10

3.291

1.0

1.0

1.0

1.0

0.0

0.0

2.902