Theory and Modern Applications
Table 13 \(f_{8}(x) = x - 0.8 - 0.2 \sin (x)\)
From: Generalization of the bisection method and its applications in nonlinear equations
Methods | IT | \(x_{n}\) | \(f(x_{n})\) | δ |
|---|---|---|---|---|
\(\mathrm{QBM}_{a}\) | 56 | 0.9643338876952231 | 3.330669e − 16 | 8.326673e − 16 |
\(\mathrm{QBM}_{b}\) | 55 | 0.9643338876952229 | 1.387779e − 16 | 4.440892e − 16 |
\(\mathrm{QBM}_{c}\) | 1 | 0.964333887695223 | −5.55111512e − 17 | 0 |
Bisection | 52 | 0.9643338876952226 | −1.387779e − 16 | 4.440892e − 16 |
Regula falsi | 7 | 0.9643338876952218 | −8.326672e − 16 | 2.985389e − 13 |
Newton–Raphson | 5 | 0.964333887695223 | 2.4980018e − 16 | −1.31509e − 09 |