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A Family of Iterative Methods for Solving Systems of Nonlinear Equations Having Unknown Multiplicity

open access: yesAlgorithms, 2015
The singularity of Jacobian happens when we are looking for a root, with multiplicity greater than one, of a system of nonlinear equations. The purpose of this article is two-fold.
Fayyaz Ahmad   +3 more
doaj   +1 more source

Ratio estimators of population means using quartile function of auxiliary variable using double sampling [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2019
Ratio estimators have been used in survey sampling for estimating population mean when the population mean of an auxiliary variable is known. However, as the auxiliary information is not always available we cannot gain any benefit from using ratio ...
Nuanpan Lawson
doaj   +1 more source

Effects of balance training in addition to auxiliary activity on balance function of patients with stroke at high risk for falls

open access: yesFrontiers in Neurology, 2023
ObjectiveThe aim of this study was to investigate the effect of balance training in addition to auxiliary activity on the balance function of patients with stroke at high risk for falls.MethodsA total of 112 patients with stroke at high risk for falls in
Huiqun Tan   +11 more
doaj   +1 more source

Interval-Type Fuzzy Linear Fractional Programming Problem in Neutrosophic Environment: A Fuzzy Mathematical Programming Approach [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
This article proposes an interval-valued fuzzy linear fractional programming (LFP) problem, where the coefficients in the objective functions are assumed to be single-valued trapezoidal fuzzy neutrosophic numbers. In addition to this, the coefficients in
A Hamiden Abd El-Wahed Khalifa   +1 more
doaj   +1 more source

A Preconditioned Iterative Method for Solving Systems of Nonlinear Equations Having Unknown Multiplicity

open access: yesAlgorithms, 2017
A modification to an existing iterative method for computing zeros with unknown multiplicities of nonlinear equations or a system of nonlinear equations is presented.
Fayyaz Ahmad   +6 more
doaj   +1 more source

Iteration Methods with an Auxiliary Function for Nonlinear Equations

open access: yesJournal of Mathematics, 2020
Various iterative methods have been introduced by involving Taylor’s series on the auxiliary function gx to solve the nonlinear equation fx=0. In this paper, we introduce the expansion of gx with the inclusion of weights wi such that ∑i=1pwi=1 and knots ...
Faisal Ali   +3 more
doaj   +1 more source

Practical Realization of Optimal Auxiliary Frequency Control Strategy of Wind Turbine Generator

open access: yesJournal of Modern Power Systems and Clean Energy, 2022
Adding the auxiliary frequency control function to the wind turbine generator (WTG) is a solution to the frequency security problem of the power system caused by the replacement of the synchronous generator (SG) by the WTG.
Ming Sun   +6 more
doaj   +1 more source

Infinitely Many Elliptic Solutions to a Simple Equation and Applications

open access: yesAbstract and Applied Analysis, 2013
Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems.
Long Wei, Yang Wang
doaj   +1 more source

The Blow-Up of the Local Energy Solution to the Wave Equation with a Nontrivial Boundary Condition

open access: yesMathematics
In this study, we examine the wave equation with a nontrivial boundary condition. The main target of this study is to prove the local-in-time existence and the blow-up in finite time of the energy solution.
Yulong Liu
doaj   +1 more source

A fast insight into the optical solitons of the generalized third-order nonlinear Schrödinger’s equation

open access: yesResults in Physics, 2022
The optical solitons of the generalized third-order nonlinear Schrödinger’s equation are investigated by Liu et al. (2022). In this letter, we propose a new one-step method namely the direct mapping method for the first time to study it.
Kang-Jia Wang
doaj   +1 more source

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