On modified two-step iterative method in the fractional sense: some applications in real world phenomena
From MaRDI portal
Publication:5031160
DOI10.1080/00207160.2019.1683547zbMath1480.65117OpenAlexW2982159642WikidataQ126976965 ScholiaQ126976965MaRDI QIDQ5031160
Hamid Esmaeili, Raziyeh Erfanifar, Khosro Sayevand
Publication date: 18 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2019.1683547
nonlinear equationsorder of convergenceefficiency indexsimple roottwo-step methodsderivative of arbitrary real order
Related Items
Acceleration of the order of convergence of a family of fractional fixed-point methods and its implementation in the solution of a nonlinear algebraic system related to hybrid solar receivers ⋮ On computational efficiency and dynamical analysis for a class of novel multi-step iterative schemes ⋮ Analysis of dual Bernstein operators in the solution of the fractional convection-diffusion equation arising in underground water pollution
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- General fractional variational problem depending on indefinite integrals
- Three-point methods with and without memory for solving nonlinear equations
- Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method
- Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
- Stability of King's family of iterative methods with memory
- Galerkin finite element method for nonlinear fractional Schrödinger equations
- Accurate fourteenth-order methods for solving nonlinear equations
- An efficient three-step method to solve system of nonlinear equations
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Graphic and numerical comparison between iterative methods
- On new computational local orders of convergence
- Numerical solution of nonlinear systems by a general class of iterative methods with application to nonlinear PDEs
- Efficient \(n\)-point iterative methods with memory for solving nonlinear equations
- Iterative methods improving Newton's method by the decomposition method
- No violation of the Leibniz rule. No fractional derivative
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
- New efficient methods for solving nonlinear systems of equations with arbitrary even order
- A variant of Cauchy's method with accelerated fifth-order convergence.
- An efficient fourth order weighted-Newton method for systems of nonlinear equations
- Improved King's methods with optimal order of convergence based on rational approximations
- No nonlocality. No fractional derivative
- An efficient two-parametric family with memory for nonlinear equations
- On systems of nonlinear equations: some modified iteration formulas by the homotopy perturbation method with accelerated fourth- and fifth-order convergence
- The failure of certain fractional calculus operators in two physical models
- A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator
- Successive approximation: a survey on stable manifold of fractional differential systems
- Optimal Order of One-Point and Multipoint Iteration
- An efficient difference scheme for the coupled nonlinear fractional Ginzburg–Landau equations with the fractional Laplacian
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- Some Fourth Order Multipoint Iterative Methods for Solving Equations
- A Family of Fourth Order Methods for Nonlinear Equations
- Julia sets for the super-Newton method, Cauchy’s method, and Halley’s method
- A modified Newton-Jarratt's composition