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Table 6 Numerical results at m=1 and Re=10

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

0.175911

0.167616

0.1676160001397322991

1.39 × 10−10

8.33 × 10−10

5.569

0.2

0.344336

0.329031

0.32903100221406728329

2.21 × 10−9

6.72 × 10−9

6.365

0.3

0.498671

0.478907

0.47890699791462877619

2.08 × 10−9

4.35 × 10−9

7.378

0.4

0.633941

0.613252

0.61325199550552162812

4.49 × 10−9

7.32 × 10−9

7.254

0.5

0.747277

0.729428

0.72942799845508679063

1.54 × 10−9

2.11 × 10−9

6.271

0.6

0.838004

0.825843

0.82584300690485584332

6.9 × 10−9

8.36 × 10−9

7.425

0.7

0.907244

0.901576

0.90157600840425340903

8.4 × 10−9

9.32 × 10−9

6.162

0.8

0.956954

0.901576

0.90157518382496567601

8.16 × 10−7

9.05 × 10−7

7.410

0.9

0.988387

0.988978

0.98897799997420425356

2.57 × 10−11

2.6 × 10−11

7.910

1.0

1.0

1.0

1.0

0.0

0.0

2.902