x

(自变量)

$u_T\left(x\right)$

(精确解)

$u_n\left(x\right)$

(改进方法的数值解)

改进再生核方法

绝对误差

传统再生核方法

绝对误差

0.0

1

1

0

0

0.1

1.09

1.09000000011

1.15197E−10

1.82777E−3

0.2

1.16

1.16000000021

2.19043E−10

3.47025E−3

0.3

1.21

1.21000000031

3.18644E−10

4.88297E−3

0.4

1.24

1.2400000004

3.97231E−10

5.99386E−3

0.5

1.25

1.25000000050

5.04315E−10

6.70804E−3

0.6

1.24

1.2400000006

5.82654E−10

6.91243E−3

0.7

1.21

1.2100000006

5.70744E−10

6.48057E−3

0.8

1.16

1.16000000033

3.34833E−10

5.27723E−3

0.9

1.09

1.09000000040

3.99528E−10

3.16322E−3

1.0

1

1.00000000012

1.15293E−10

2.68555E−3