t

New scheme

Theoretical solution

Errors

Relative errors

0.000

0.0100000917

0.0100000917

0

0

0.001

0.01000359219

0.0100035927

5.1 × 10−10

5.049486987 × 10−10

0.002

0.01000709380

0.0100070936

2.0 × 10−10

1.980184111 × 10−10

0.003

0.01001059654

0.0100105966

6.0 × 10−11

5.940531731 × 10−11

0.004

0.01001410040

0.0100141006

2.0 × 10−10

1.980170374 × 10−10

0.005

0.01001760539

0.0100176056

2.1 × 10−10

2.079171677 × 10−10

0.006

0.01002111150

0.0100211126

1.10 × 10−9

1.089086145 × 10−9

0.007

0.01002461875

0.0100246196

8.5 × 10−10

8.415636443 × 10−10

0.008

0.01002812713

0.0100281285

1.37 × 10−9

1.356397869 × 10−9

0.009

0.01003163663

0.0100316373

6.7 × 10−10

6.633455582 × 10−10

0.010

0.01003514726

0.0100351481

4.4 × 10−10

4.356284045 × 10−10

0.011

0.01003865902

0.0100386598

7.8 × 10−10

7.722476682 × 10−10

0.012

0.01004217190

0.0100421733

1.4 × 10−9

1.386080737 × 10−9

0.013

0.01004568591

0.0100456878

1.89 × 10−9

1.871202484 × 10−9

0.014

0.01004920106

0.0100492031

2.04 × 10−9

2.019703589 × 10−9

0.015

0.01005271734

0.0100527192

1.86 × 10−9

1.841488038 × 10−9

0.016

0.01005623474

0.0100562362

1.46 × 10−9

1.445464072 × 10−9

0.017

0.01005975327

0.0100597549

1.63 × 10−9

1.613765910 × 10−9

0.018

0.01006327294

0.0100632755

2.56 × 10−9

2.534494681 × 10−9

0.019

0.01006679374

0.0100667959

2.16 × 10−9

2.138472434 × 10−9

0.020

0.01007031567

0.0100703180

2.33 × 10−9

2.306770092 × 10−9