Table 2 Numerical esults of \(\{ u_{n}\}\), \(\{ v_{n}\}\), and \(\{ w_{n}\}\) with initial \(u_{1} = 1.0\)
n | \(v_{n}\) | \(w_{n}\) | \(u_{n}\) |
|---|---|---|---|
1 | 0.666666666666667 | 1.00000000000000 | 1.00000000000000 |
2 | 0.188493070669609 | 0.594246535334805 | 0.442465353348047 |
3 | 0.047734978022387 | 0.365156652014924 | 0.096281468868147 |
4 | 0.013887781581545 | 0.260415836186159 | −0.01390771311373 |
5 | 0.005016751133393 | 0.204013400906715 | −0.03444721259803 |
6 | 0.002022073632571 | 0.168351728027143 | −0.03523188054954 |
7 | 0.000854971429905 | 0.143589975511347 | −0.03256582839944 |
8 | 0.000371596957448 | 0.125325147337767 | −0.02949958193595 |
9 | 0.000164574841194 | 0.111257399858839 | −0.02668421757849 |
10 | 0.000073908605586 | 0.100066517745027 | −0.02424367927438 |
11 | 0.000033552200238 | 0.090939592909307 | −0.02216063262202 |
12 | 0.000015364834636 | 0.083347417765083 | −0.02038360583157 |
13 | 0.000007086981657 | 0.076929618752290 | −0.01885943628695 |
14 | 0.000003288762206 | 0.071431625279192 | −0.01754220267938 |
15 | 0.000001534136645 | 0.066668098527535 | −0.01639454294823 |
16 | 0.000000718881060 | 0.062500673950994 | −0.01538669196834 |
17 | 0.000000338196904 | 0.058823847714733 | −0.01449504667360 |
18 | 0.000000159662486 | 0.055555706347903 | −0.01370083322728 |
19 | 0.000000075612039 | 0.052631650579827 | −0.01298901840146 |
20 | 0.000000035908223 | 0.050000034112812 | −0.01234746359706 |