Theory and Modern Applications
Table 10 \(f_{5}(x) = e^{\sin(x)}-\cos^{2}(3x)\)
From: Generalization of the bisection method and its applications in nonlinear equations
Methods | IT | \(x_{n}\) | \(f(x_{n})\) | δ |
|---|---|---|---|---|
\(\mathrm{QBM}_{a}\) | 91 | −9.455737905931795e − 17 | −1.110223e − 16 | 7.091803e − 17 |
\(\mathrm{QBM}_{b}\) | 66 | −9.109379319393902e − 17 | −1.110223e − 16 | 7.970707e − 17 |
\(\mathrm{QBM}_{c}\) | 1 | −3.081487911019579e − 33 | −1.110223e − 16 | 0 |
Bisection | 53 | −5.551115123125783e − 17 | −1.110223e − 16 | 1.110223e − 16 |
Regula falsi | 7 | −0.7833286165303618 | −1.822575e − 11 | 4.330428e − 07 |
Newton–Raphson | 6 | −2.358264037064873 | 6.661338e − 16 | 4.440892e − 16 |