Theory and Modern Applications
Table 11 \(f_{6}(x) = \ln(\tan(x))-e^{-2x}\)
From: Generalization of the bisection method and its applications in nonlinear equations
Methods | IT | \(x_{n}\) | \(f(x_{n})\) | δ |
|---|---|---|---|---|
\(\mathrm{QBM}_{a}\) | 57 | 0.8723123888016149 | −4.718448e − 16 | 2.220446e− |
\(\mathrm{QBM}_{b}\) | 50 | 0.8723123888016111 | −9.436896e − 15 | 7.882583e − 15 |
\(\mathrm{QBM}_{c}\) | 1 | 0.872312388801615 | −8.3266726846e − 17 | 0 |
Bisection | 52 | 0.872312388801615 | −9.436896e − 16 | 6.661338e − 16 |
Regula falsi | 7 | 0.8723123888016150 | −8.326673e − 17 | −1.11022e − 16 |
Newton–Raphson | 5 | 0.872312388801615 | −8.326673e − 17 | 0 |