Theory and Modern Applications
Table 14 \(f_{9}(x) = \operatorname{Sin}(x)-e^{-x}\)
From: Generalization of the bisection method and its applications in nonlinear equations
Methods | IT | \(x_{n}\) | \(f(x_{n})\) | δ |
|---|---|---|---|---|
\(\mathrm{QBM}_{a}\) | 57 | 0.5885327439818610 | −1.110223e − 16 | 2.775558e − 16 |
\(\mathrm{QBM}_{b}\) | 48 | 0.5885327439818592 | −2.553513e − 15 | 4.440892e − 15 |
\(\mathrm{QBM}_{c}\) | 1 | 0.588532743981861 | 0 | 0 |
Bisection | 51 | 0.5885327439818613 | 2.220446e − 16 | 4.440892e − 16 |
Regula falsi | 22 | 0.588532743981861 | 1.1102230e − 16 | −3.3306e − 16 |
Newton–Raphson | 6 | 0.588532743981861 | −1.110223e − 16 | 1.110223e − 16 |