Skip to main content

Table 5 Comparison between exact solution and approximate solution by using the JF iteration process for \(k=31\) and \(k=500\)

From: Convergence and stability of an iteration process and solution of a fractional differential equation

S. No.

t

k = 31

k = 500

x(t)

\(\tau _{1}\)

\(\tau _{10}\)

x(t)

\(\tau _{1}\)

\(\tau _{10}\)

1

0

0.00000000

0.00000000

0.00000000

0.00000000

0.00000000

0.00000000

2

0.1

0.09426838

0.09426838

0.09426838

0.09426838

0.09426838

0.09426838

3

0.2

0.12181107

0.12181107

0.12181107

0.12181107

0.12181107

0.12181107

4

0.3

0.14144144

0.14144144

0.14144144

0.14144144

0.14144144

0.14144144

5

0.4

0.15787367

0.15787367

0.15787367

0.15787369

0.15787369

0.15787369

6

0.5

0.17308385

0.17308385

0.17308385

0.17308398

0.17308398

0.17308398

7

0.6

0.18827138

0.18827138

0.18827138

0.18827202

0.18827202

0.18827202

8

0.7

0.20433052

0.20433052

0.20433052

0.20433294

0.20433294

0.20433294

9

0.8

0.22201428

0.22201428

0.22201428

0.22202200

0.22202200

0.22202200

10

0.9

0.24200310

0.24200310

0.24200310

0.24202490

0.24202490

0.24202490

11

1.0

0.26493588

0.26493588

0.26493588

0.26499176

0.26499176

0.26499176