A splitting method to solve a single nonlinear equation with derivative-free iterative schemes
CS Liu, HK Hong, TL Lee - Mathematics and Computers in Simulation, 2021 - Elsevier
In the paper, we convert a single nonlinear equation to a system consisting of two equations.
While a quasi-linear term is added on the first equation, the nonlinear term in the second …
While a quasi-linear term is added on the first equation, the nonlinear term in the second …
A two-dimensional variant of Newton's method and a three-point Hermite interpolation: Fourth-and eighth-order optimal iterative schemes
A nonlinear equation f (x)= 0 is mathematically transformed to a coupled system of quasi-
linear equations in the two-dimensional space. Then, a linearized approximation renders a …
linear equations in the two-dimensional space. Then, a linearized approximation renders a …
Updating to Optimal Parametric Values by Memory-Dependent Methods: Iterative Schemes of Fractional Type for Solving Nonlinear Equations
In the paper, two nonlinear variants of the Newton method are developed for solving
nonlinear equations. The derivative-free nonlinear fractional type of the one-step iterative …
nonlinear equations. The derivative-free nonlinear fractional type of the one-step iterative …
A new family of generalized quadrature methods for solving nonlinear equations
CS Liu, TL Lee - Asian-European Journal of Mathematics, 2022 - World Scientific
Weerakoon and Fernando [A variant of Newton's method with accelerated third-order
convergence, Appl. Math. Lett. 13 (2000) 87–93] were resorted on a trapezoidal quadrature …
convergence, Appl. Math. Lett. 13 (2000) 87–93] were resorted on a trapezoidal quadrature …