SOME HIGH ORDER ITERATIVE METHODS FOR NONLINEAR EQUATIONS BASED ON THE MODIFIED HOMOTOPY PERTURBATION METHODS
DOI10.1142/S1793557110000349zbMath1230.65060OpenAlexW2076067156MaRDI QIDQ3056431
Bilian Chen, Ya-Jun Xie, Chang-Feng Ma
Publication date: 12 November 2010
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793557110000349
algorithmssystem of nonlinear equationsnumerical exampleshomotopy methodnonlinear equationNewton methodhigher order methodsmodified homotopy perturbation methodpredictor-corrector Householder method
Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical computation of solutions to single equations (65H05)
Cites Work
- Unnamed Item
- Unnamed Item
- A composite fourth-order iterative method for solving nonlinear equations
- A third-order Newton-type method to solve systems of nonlinear equations
- High order iterative methods without derivatives for solving nonlinear equations
- Fourth-order and fifth-order iterative methods for nonlinear algebraic equations
- Modified homotopy perturbation method for solving system of linear Fredholm integral equations
- New iterative methods for nonlinear equations by modified HPM
- A third-order Newton type method for nonlinear equations based on modified homotopy perturbation method
- Newton-like iterative methods for solving system of non-linear equations
- Iterative methods to nonlinear equations
- A fifth-order iterative method for solving nonlinear equations
- An effective iterative method for computing real and complex roots of systems of nonlinear equations
- The Jarratt method in Banach space setting
- Homotopy perturbation technique
- Newton-homotopy analysis method for nonlinear equations
- Modified Householder iterative method for nonlinear equations
- A new family of iterative methods for solving system of nonlinear algebraic equations
- A Family of Fourth Order Methods for Nonlinear Equations
This page was built for publication: SOME HIGH ORDER ITERATIVE METHODS FOR NONLINEAR EQUATIONS BASED ON THE MODIFIED HOMOTOPY PERTURBATION METHODS