On computational efficiency and dynamical analysis for a class of novel multi-step iterative schemes
type: Item
instance of: scholarly article
title: On computational efficiency and dynamical analysis for a class of novel multi-step iterative schemes
zbMATH Open document ID: 1460.65052
author: K. Sayevand
author: Raziyeh Erfanifar
author: H. Esmaeili
published in: International Journal of Applied and Computational Mathematics
publication date: 2021-05-21T00:00:00Z
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 7350437
zbMATH Keywords: iterative schemes
zbMATH Keywords: multi-step scheme
zbMATH Keywords: computational efficiency
zbMATH Keywords: systems of nonlinear equations
zbMATH Keywords: fractional calculus
MaRDI profile type: Publication
full work available at URL: s40819-020-00919-x
OpenAlex ID: W3094540997
cites work: Solving Nonlinear Equations with Newton's Method
cites work: Asynchronous multisplitting GAOR method and asynchronous multisplitting SSOR method for systems of weakly nonlinear equations
cites work: Accelerated double-step scale splitting iteration method for solving a class of complex symmetric linear systems
cites work: Some derivative free quadratic and cubic convergence iterative formulas for solving nonlinear equations
cites work: New iterative method for solving non-linear equations with fourth-order convergence
cites work: Q4919194
cites work: New eighth and sixteenth order iterative methods to solve nonlinear equations
cites work: Some higher order Newton-like methods for solving system of nonlinear equations and its applications
cites work: A family of high order derivative-free iterative methods for solving root-finding problems
cites work: Adaptive Newton-type schemes based on projections
cites work: Two-step solver for equations with nondifferentiable term
cites work: Q5732060
cites work: A modified Newton-Jarratt's composition
cites work: A multi-step class of iterative methods for nonlinear systems
cites work: An efficient three-step method to solve system of nonlinear equations
cites work: Q5652137
cites work: Convergence and spectral analysis of the Frontini-Sormani family of multipoint third order methods from quadrature rule
cites work: On a new method for computing the numerical solution of systems of nonlinear equations
cites work: Higher order multi-step iterative method for computing the numerical solution of systems of nonlinear equations: application to nonlinear PDEs and ODEs
cites work: Solving systems of nonlinear equations when the nonlinearity is expensive
cites work: New efficient methods for solving nonlinear systems of equations with arbitrary even order
cites work: A novel iterative method for the solution of a nonlinear matrix equation
cites work: Q3925805
cites work: Variants of Newton's method using fifth-order quadrature formulas
cites work: On modified two-step iterative method in the fractional sense: some applications in real world phenomena
cites work: Numerical Solution of Stochastic Differential Equations in Finance
cites work: A new fourth-order family for solving nonlinear problems and its dynamics
cites work: Q3141902
cites work: Analysis of a meshless method for the time fractional diffusion-wave equation
cites work: Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods
cites work: Fractals and fractional calculus in continuum mechanics
cites work: Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
cites work: Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
cites work: Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
cites work: A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
cites work: A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator
cites work: An efficient difference scheme for the coupled nonlinear fractional Ginzburg–Landau equations with the fractional Laplacian
cites work: Galerkin finite element method for nonlinear fractional Schrödinger equations
cites work: Q4899294
cites work: Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?
DOI: 10.1007/S40819-020-00919-X
description: scientific article; zbMATH DE number 7350437