Higher order multi-step iterative method for computing the numerical solution of systems of nonlinear equations: application to nonlinear PDEs and ODEs
From MaRDI portal
Publication:668758
DOI10.1016/j.amc.2015.07.096zbMath1410.65201OpenAlexW1902908724MaRDI QIDQ668758
Publication date: 19 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.096
iterative methodsnonlinear partial differential equationssystems of nonlinear equationsnonlinear ordinary differential equationsmulti-step
Related Items
A new filled function for global minimization and system of nonlinear equations ⋮ A class of efficient quadrature-based predictor-corrector methods for solving nonlinear systems ⋮ On computational efficiency and dynamical analysis for a class of novel multi-step iterative schemes
Cites Work
- Unnamed Item
- Unnamed Item
- An integral equation formalism for solving the nonlinear Klein-Gordon equation
- Ostrowski type methods for solving systems of nonlinear equations
- Increasing the convergence order of an iterative method for nonlinear systems
- Numerical solution of nonlinear systems by a general class of iterative methods with application to nonlinear PDEs
- Some variant of Newton's method with third-order convergence.
- Third-order methods from quadrature formulae for solving systems of nonlinear equations.
- An efficient higher-order quasilinearization method for solving nonlinear BVPs
- A modified Newton method with cubic convergence: the multivariate case
- An efficient fourth order weighted-Newton method for systems of nonlinear equations
- On a new method for computing the numerical solution of systems of nonlinear equations
- New analytic solution to the Lane-Emden equation of index 2
- A fourth-order method from quadrature formulae to solve systems of nonlinear equations
- Variants of Newton's method using fifth-order quadrature formulas
- Some iterative methods for solving a system of nonlinear equations
- A multi-step class of iterative methods for nonlinear systems
- Numerical Solutions of the 1D Convection–Diffusion–Reaction and the Burgers Equation Using Implicit Multi-stage and Finite Element Methods
- Remarks on “On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency”
- A family of Chebyshev-Halley type methods in Banach spaces
- Solving Nonlinear Equations with Newton's Method
- Some Fourth Order Multipoint Iterative Methods for Solving Equations
- A modified Newton-Jarratt's composition
