Table 2: Comparison of the HAM solution with exact solution when and , respectively.

Exact solutionHAM solutionAbsolute error

0−∞  

−100
−50
−20
0
20
50
100
200

1.

1.  
0.99999999998611  
0.99995460229829  
0.5  
0.00004539770170  

.  
.  

0.
1.

1.
0.9999999999
0.9999546021
0.5
0.0000453978

0.
0.

0.
0.

0.


0


0.
0.

0.

0.25−∞

−100
−50
−20
0
20
50
100
200
300
1.

1.
0.9999999999999
0.9999559989777
0.5078118671525
0.0000468387124

0.
0.
0
1.

1.
0.99999999998
0.99995735253
0.51561991572
0.00004832563



0
0.

0.







0

0.5−∞

−100
−50
−20
0
20
50
100
200
300
1.

1.
0.999999999986
0.999957352689
0.515619921465
0.000048325461

0.
0.
0.
1.

1.
0.99999999998
0.99995993630
0.53120937337
0.00005144221



0.

0.








0.75−∞

−100
−50
−20
0
20
50
100
200
300
1.

1.
0.999999999987
0.99995866475
0.523420357539
0.000049859400


0.
0.
1.

1.
0.99999999998
0.99996236355
0.54673815197
0.00005475976



0.

0.








1−∞

−100
−50
−20
0
20
50
100
200
300
1.

1.
0.999999999987744
0.9999599364569929
0.5312093848251956
0.000051442026872461355

0.
0.
0.
1.

1.
0.9999999999
0.9999646437
0.5621765008
0.0000582912



0.

0.