A Comparison Between Newton-Kantorovich Method and Adomian Decomposition Method for Solving a Class of Nonlinear Fredholm Integral Equations
Our aim in this work is devoted to study the numerical solution of a kind of nonlinear Fredholm integral equations by two methods namely, Newton-Kantorovich method (N.K.M) and Adomian decomposition method (A.D.M). Three Examples are given to illustrate the ability of (N.K.M) to accelerate
convergence of the iteration process and to give more than one approximate solution if the exact solution of the equation is not unique.
Keywords: Adomian Decomposition Method; Fredholm Integral Equations; Newton-Kantorovich Method
Document Type: Research Article
Affiliations: Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt
Publication date: 01 January 2016
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