Absolute diff. between the two Appr. solutions

Appr. solution for the perturbed problem

Absolute Error

Appr. solution

for the problem

x

a

1.50275 × 10−8

2.33452 × 10−8

3.03307 × 10−8

3.66017 × 10−8

4.24062 × 10−8

0.000925771

0.00286047

0.00555184

0.00890311

0.0128568

8.2 × 10−4

2.5 × 10−3

4.7 × 10−3

7.3 × 10−3

1.0 × 10−2

y = 0.000925756

y = 0.00286044

y = 0.00555181

y = 0.00890308

y = 0.0128567

0.01

0.02

0.03

0.04

0.05

0.1

9.30474 × 10−9

1.54803 × 10−8

2.09326 × 10−8

2.59856 × 10−8

3.07735 × 10−8

0.000540099

0.00178793

0.00361276

0.0059613

0.00880111

4.4 × 10−4

1.4 × 10−3

2.7 × 10−3

4.4 × 10−3

6.1 × 10−3

y = 0.00054009

y = 0.00178791

y = 0.00361274

y = 0.00596128

y = 0.00880108

0.01

0.02

0.03

0.04

0.05

0.2

5.71685 × 10−9

1.01865 × 10−8

1.43368 × 10−8

1.83092 × 10−8

2.21638 × 10−8

0.000313707

0.00111263

0.00234066

0.00397413

0.0059986

2.1 × 10−4

7.1 × 10−4

1.4 × 10−3

2.4 × 10−3

3.5 × 10−3

y = 0.000313701

y = 0.00111262

y = 0.00234065

y = 0.00397411

y = 0.00599858

0.01

0.02

0.03

0.04

0.05

0.3

3.4872 × 10−9

6.65526 × 10−9

9.74972 × 10−9

1.28095 × 10−8

1.58509 × 10−8

0.000181441

0.000689483

0.00151013

0.0026383

0.00407143

8.1 × 10−5

2.9 × 10−4

6.1 × 10−4

1.0 × 10−3

1.0 × 10−3

y = 0.000181438

y = 0.000689476

y = 0.00151012

y = 0.00263828

y = 0.00407141

0.01

0.02

0.03

0.04

0.05

0.4

2.11285 × 10−9

4.31917 × 10−9

6.58633 × 10−9

8.90272 × 10−9

1.12616 × 10−8

0.000104516

0.000425537

0.000970365

0.00174444

0.00275232

4.5 × 10−6

2.6 × 10−5

7.0 × 10−5

1.4 × 10−4

2.5 × 10−4

y = 0.000104514

y = 0.000425532

y = 0.000970359

y = 0.00174443

y = 0.00275231

0.01

0.02

0.03

0.04

0.05

0.5