AbstractIn this paper, we present a sequence of iterative methods improving Newton's method for solving nonlinear equations. The Adomian decomposition method is applied to an equivalent coupled system to construct the sequence of the methods whose order of convergence increases as it progresses. The orders of convergence are derived analytically, and then rederived by applying symbolic computation of Maple. Some numerical illustrations are given
Abstract. The classical Newton–Kantorovich method for solving systems of equations f(x) = 0 uses th...
In this article, a modification of Newton’s method with fifteenth-order convergence is presented. Th...
AbstractIn this paper, we introduce a new algorithm for applying the Adomian decomposition method to...
AbstractIn this paper, we present a sequence of iterative methods improving Newton's method for solv...
AbstractThe Adomian decomposition is used in order to obtain a family of methods to solve systems of...
AbstractIn this work we introduce a technique for solving nonlinear systems that improves the order ...
In this work we introduce a technique for solving nonlinear systems that improves the order of conve...
Various problems of pure and applied sciences can be studied in the unified framework of nonlinear e...
In this paper, we suggest and analyze two new algorithm of fourth and fifth order convergence. We re...
An alternative strategy for solving systems of nonlinear equations when the classical Newton's metho...
The aim of this paper is to construct a new iterative method to solve nonlinear equations. The new m...
[EN] A set of multistep iterative methods with increasing order of convergence is presented, for sol...
AbstractIn this paper, we use a new decomposition technique to suggest and consider some new iterati...
This paper presents a methodology for constructing iterative schemes of any order of convergence for...
In this paper, we present some new modification of Newton’s method for solving nonlinear equations. ...
Abstract. The classical Newton–Kantorovich method for solving systems of equations f(x) = 0 uses th...
In this article, a modification of Newton’s method with fifteenth-order convergence is presented. Th...
AbstractIn this paper, we introduce a new algorithm for applying the Adomian decomposition method to...
AbstractIn this paper, we present a sequence of iterative methods improving Newton's method for solv...
AbstractThe Adomian decomposition is used in order to obtain a family of methods to solve systems of...
AbstractIn this work we introduce a technique for solving nonlinear systems that improves the order ...
In this work we introduce a technique for solving nonlinear systems that improves the order of conve...
Various problems of pure and applied sciences can be studied in the unified framework of nonlinear e...
In this paper, we suggest and analyze two new algorithm of fourth and fifth order convergence. We re...
An alternative strategy for solving systems of nonlinear equations when the classical Newton's metho...
The aim of this paper is to construct a new iterative method to solve nonlinear equations. The new m...
[EN] A set of multistep iterative methods with increasing order of convergence is presented, for sol...
AbstractIn this paper, we use a new decomposition technique to suggest and consider some new iterati...
This paper presents a methodology for constructing iterative schemes of any order of convergence for...
In this paper, we present some new modification of Newton’s method for solving nonlinear equations. ...
Abstract. The classical Newton–Kantorovich method for solving systems of equations f(x) = 0 uses th...
In this article, a modification of Newton’s method with fifteenth-order convergence is presented. Th...
AbstractIn this paper, we introduce a new algorithm for applying the Adomian decomposition method to...
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