Table 2 Comparison between different methods with errors for Example 4
From: Quadratically convergent algorithm for computing real root of non-linear transcendental equations
Ite no. | BM approx. root | % deviation | R-F approx. root | % deviation | N–R approx. root | % deviation | PM approx. root | % deviation |
|---|---|---|---|---|---|---|---|---|
1 | 2.0000 | – | 2.6767 | – | 3.7631 | – | 3.2199 | – |
2 | 2.5000 | 50.00 | 2.7392 | 62.64 | 2.8067 | 73.43 | 2.6935 | 68.94 |
3 | 2.7500 | 20.00 | 2.7406 | 02.28 | 2.7410 | 34.08 | 2.7398 | 19.54 |
4 | 2.6250 | 09.09 | 2.7406 | 00.05 | 2.7406 | 02.39 | 2.7406 | 01.69 |
5 | 2.6875 | 04.76 | 2.7406 | 0.001 | 2.7406 | 00.01 | 2.7406 | 00.03 |
6 | 2.7188 | 02.33 | 2.7406 | 00.00 | 2.7406 | 00.00 | 2.7406 | 00.00 |
\(\vdots\) | \(\vdots\) | \(\vdots\) | ||||||
21 | 2.7406 | 00.00 |