AbstractIn this work, a reliable approach for convergence of the Adomian method when applied to a class of nonlinear Volterra integral equations is discussed. Convergence analysis is reliable enough to estimate the maximum absolute truncated error of the Adomian series solution
AbstractThe aim of this paper is to show how a general convergence principle of Bruck and Reich can ...
This research paper considers a semi-analytical method called the Adomian Decomposition Method (ADM)...
In this paper, a numerical method to solve non-linear integral equations based on a successive appro...
AbstractWe are concerned here with a nonlinear quadratic integral equation (QIE). The existence of a...
The purpose of this study is to implement homotopy perturbation method, for solving nonlinear Volte...
AbstractThis paper deals with a new proof of convergence of Adomian's method applied to differential...
In this paper, a new formula for Adomian polynomials is introduced. Based on this new formula, error...
This paper presents a general convergence analysis of numerical methods for solving ordinary differe...
AbstractIn this paper, we give new formulae which calculate easily the Adomian's polynomials used in...
In this paper, we discuss the numerical solution of Adomian decomposition method and Taylor’s expans...
We propose a new modification of the Adomian decomposition method for Volterra integral equations of...
The Newton–Kantorovich method is developed for solving the system of nonlinear integral equations. T...
The Adomian decomposition method’s effectiveness has been demonstrated in recent research, the proce...
AbstractThe main purpose of this article is to demonstrate the use of the Adomian decomposition meth...
AbstractIn this paper, we work out the theoretical basis of the Adomian method. This powerful method...
AbstractThe aim of this paper is to show how a general convergence principle of Bruck and Reich can ...
This research paper considers a semi-analytical method called the Adomian Decomposition Method (ADM)...
In this paper, a numerical method to solve non-linear integral equations based on a successive appro...
AbstractWe are concerned here with a nonlinear quadratic integral equation (QIE). The existence of a...
The purpose of this study is to implement homotopy perturbation method, for solving nonlinear Volte...
AbstractThis paper deals with a new proof of convergence of Adomian's method applied to differential...
In this paper, a new formula for Adomian polynomials is introduced. Based on this new formula, error...
This paper presents a general convergence analysis of numerical methods for solving ordinary differe...
AbstractIn this paper, we give new formulae which calculate easily the Adomian's polynomials used in...
In this paper, we discuss the numerical solution of Adomian decomposition method and Taylor’s expans...
We propose a new modification of the Adomian decomposition method for Volterra integral equations of...
The Newton–Kantorovich method is developed for solving the system of nonlinear integral equations. T...
The Adomian decomposition method’s effectiveness has been demonstrated in recent research, the proce...
AbstractThe main purpose of this article is to demonstrate the use of the Adomian decomposition meth...
AbstractIn this paper, we work out the theoretical basis of the Adomian method. This powerful method...
AbstractThe aim of this paper is to show how a general convergence principle of Bruck and Reich can ...
This research paper considers a semi-analytical method called the Adomian Decomposition Method (ADM)...
In this paper, a numerical method to solve non-linear integral equations based on a successive appro...
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