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Table 3 Numerical results at m=8 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

0.11507

0.114976

0.11497599095960418967

9.04 × 10−9

7.86 × 10−8

4.290

0.2

0.230068

0.229882

0.22988199268533318687

7.31 × 10−9

3.18 × 10−8

4.134

0.3

0.344866

0.344604

0.34460400584434350472

5.84 × 10−9

1.69 × 10−8

4.477

0.4

0.459205

0.458904

0.45890399132822355411

8.67 × 10−9

1.88 × 10−8

4.275

0.5

0.572545

0.572276

0.5722759999680104400

3.19 × 10−11

5.58 × 10−11

3.931

0.6

0.683769

0.683628

0.68362799155831029523

8.44 × 10−9

1.23 × 10−8

4.556

0.7

0.790543

0.790607

0.79060700783664672119

7.83 × 10−9

9.91 × 10−9

4.461

0.8

0.887936

0.888173

0.88817300466724146312

4.66 × 10−9

5.25 × 10−9

3.885

0.9

0.965381

0.965578

0.96557800220185786369

2.2 × 10−9

2.28 × 10−9

5.007

1.0

1.0

1.0

1.0

0.0

0.0

2.902