IEEE

A new second order open iterated method without second derivative for solving nonlinear equations

Abstract: In this paper, an open second order iterated method has been recommended and investigated for solving non-linear equations. The proposed method is very much effective and convenient, and it ...
SciELO

The Equivalent Linearization Method with a Weighted Averaging for Analyzing of Nonlinear Vibrating Systems

In this paper, the Equivalent Linearization Method (ELM) with a weighted averaging, which is proposed by Anh (Anh, 2015), is applied to analyze some vibrating systems with nonlinearities. The strongly ...
IEEE

Singularity Handling for Unbalanced Three-Phase Transformers in Newton-Raphson Power Flow Analyses Using Moore-Penrose Pseudo-Inverse

Abstract: Power systems consist of generators, transformers, loads, and distributed power sources interconnected through lines. The reliable operation of the system requires that voltage and current ...
SciELO

An efficient Newton-type method with fifth-order convergence for solving nonlinear equations

In this paper, we present an efficient Newton-like method with fifth-order convergence for nonlinear equations. The algorithm is free from second derivative and it requires four evaluations of the ...