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An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs
We developed multi-step iterative method for computing the numerical solution of nonlinear
systems, associated with ordinary differential equations (ODEs) of the form L (x (t))+ f (x (t)) …
systems, associated with ordinary differential equations (ODEs) of the form L (x (t))+ f (x (t)) …
Some new efficient multipoint iterative methods for solving nonlinear systems of equations
It is attempted to put forward a new multipoint iterative method of sixth-order convergence for
approximating solutions of nonlinear systems of equations. It requires the evaluation of two …
approximating solutions of nonlinear systems of equations. It requires the evaluation of two …
[HTML][HTML] General efficient class of Steffensen type methods with memory for solving systems of nonlinear equations
There are a very small number of high quality derivative free methods with memory for
solving a system of nonlinear equations numerically. Motivated and inspired by the fact, we …
solving a system of nonlinear equations numerically. Motivated and inspired by the fact, we …
Solving nonlinear problems by Ostrowski–Chun type parametric families
In this paper, by using a generalization of Ostrowski'and Chun's methods two bi-parametric
families of predictor–corrector iterative schemes, with order of convergence four for solving …
families of predictor–corrector iterative schemes, with order of convergence four for solving …
New two-parameter Chebyshev–Halley-like family of fourth and sixth-order methods for systems of nonlinear equations
Abstract The two-parameter Chebyshev–Halley-like family of optimal two-point fourth-order
methods proposed by Babajee (2015), is further extended to solve systems of nonlinear …
methods proposed by Babajee (2015), is further extended to solve systems of nonlinear …
Some higher order Newton-like methods for solving system of nonlinear equations and its applications
In this paper, we have proposed three higher order iterative methods of convergence order
four, five and six for solving system of nonlinear equations. New weight functions are …
four, five and six for solving system of nonlinear equations. New weight functions are …
New efficient methods for solving nonlinear systems of equations with arbitrary even order
Abstract In 2011, Khattri and Abbasbandy developed an optimal two-step Jarratt-like method
for approximating simple roots of a nonlinear equation. We develop their method for solving …
for approximating simple roots of a nonlinear equation. We develop their method for solving …
Extended convergence of two multi-step iterative methods
Iterative methods which have high convergence order are crucial in computational
mathematics since the iterates produce sequences converging to the root of a non-linear …
mathematics since the iterates produce sequences converging to the root of a non-linear …
Several New Third‐Order and Fourth‐Order Iterative Methods for Solving Nonlinear Equations
In order to find the zeros of nonlinear equations, in this paper, we propose a family of third‐
order and optimal fourth‐order iterative methods. We have also obtained some particular …
order and optimal fourth‐order iterative methods. We have also obtained some particular …
Numerical solution of nonlinear systems by a general class of iterative methods with application to nonlinear PDEs
A general class of multi-step iterative methods for finding approximate real or complex
solutions of nonlinear systems is presented. The well-known technique of undetermined …
solutions of nonlinear systems is presented. The well-known technique of undetermined …