A family of iterative methods to solve nonlinear problems with applications in fractional differential equations
From MaRDI portal
Publication:6543185
DOI10.1002/mma.9736zbMATH Open1539.65088MaRDI QIDQ6543185
Raziyeh Erfanifar, K. Sayevand, Masoud Hajarian
Publication date: 24 May 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Numerical computation of solutions to systems of equations (65H10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical computation of solutions to single equations (65H05) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamical analysis of iterative methods for nonlinear systems or how to deal with the dimension?
- Galerkin finite element method for nonlinear fractional Schrödinger equations
- On preconditioned MHSS iteration methods for complex symmetric linear systems
- Higher order multi-step iterative method for computing the numerical solution of systems of nonlinear equations: application to nonlinear PDEs and ODEs
- A stable class of modified Newton-like methods for multiple roots and their dynamics
- On the construction of some tri-parametric iterative methods with memory
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Modified HSS iteration methods for a class of complex symmetric linear systems
- A class of two-stage iterative methods for systems of weakly nonlinear equations
- New efficient methods for solving nonlinear systems of equations with arbitrary even order
- On a new method for computing the numerical solution of systems of nonlinear equations
- On modified Newton-DGPMHSS method for solving nonlinear systems with complex symmetric Jacobian matrices
- On computational efficiency and dynamical analysis for a class of novel multi-step iterative schemes
- Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel
- Efficiently energy-dissipation-preserving ADI methods for solving two-dimensional nonlinear Allen-Cahn equation
- Operational calculus for Caputo fractional calculus with respect to functions and the associated fractional differential equations
- A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator
- Variants of Newton's method using fifth-order quadrature formulas
- Stability analysis of a family of optimal fourth-order methods for multiple roots
- A multi-step class of iterative methods for nonlinear systems
- On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
- On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
- On Newton-HSS Methods for Systems of Nonliear Equations with Positive-Definite Jacobian Matrices
- On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations
- Numerical Methods in Scientific Computing, Volume I
- Solving Nonlinear Equations with Newton's Method
- Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
- Optimal Order of One-Point and Multipoint Iteration
- An efficient difference scheme for the coupled nonlinear fractional Ginzburg–Landau equations with the fractional Laplacian
- On modified two-step iterative method in the fractional sense: some applications in real world phenomena
- Jacobi‐Picard iteration method for the numerical solution of nonlinear initial value problems
- A family of optimal fourth‐order methods for multiple roots of nonlinear equations
- On the choice of the best members of the Kim family and the improvement of its convergence
- An efficient multistep iteration scheme for systems of nonlinear algebraic equations associated with integral equations
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- A modified Chebyshev ϑ‐weighted <scp>Crank–Nicolson</scp> method for analyzing fractional sub‐diffusion equations
- A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems
- A modified Chebyshev–Halley‐type iterative family with memory for solving nonlinear equations and its stability analysis
- Soliton solution of high‐order nonlinear Schrödinger equation based on ansatz method
- Introducing memory to a family of multi-step multidimensional iterative methods with weight function
- Isonormal surfaces: A new tool for the multidimensional dynamical analysis of iterative methods for solving nonlinear systems
- Memory in the iterative processes for nonlinear problems
- Cross‐impact of beam local wavenumbers on the efficiency of self‐adaptive artificial boundary conditions for two‐dimensional nonlinear Schrödinger equation
- Novel spectral schemes to fractional problems with nonsmooth solutions
Related Items (1)
High-efficiency parametric iterative schemes for solving nonlinear equations with and without memory
This page was built for publication: A family of iterative methods to solve nonlinear problems with applications in fractional differential equations