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Comparison Between Newton-Kantorovich Method and Adomian Decomposition Method for Solving a Class of Nonlinear Fredholm Integral Equations
Faculty
Science
Year:
2016
Type of Publication:
ZU Hosted
Pages:
469–475
Authors:
Doaa Shoukry Mohamed Abdulmutallab
Staff Zu Site
Abstract In Staff Site
Journal:
Journal of Computational and Theoretical Nanoscience Copyright © 2016 American Scientific Publishers All rights reserved Printed in the United States of America
Volume:
Keywords :
Comparison Between Newton-Kantorovich Method and Adomian Decomposition
Abstract:
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
Author Related Publications
Doaa Shoukry Mohamed Abdulmutallab , "Fractional Calculus for Solving generalized Abel’s Integral Equations using Chebyshev Polynomials", Foundation of Computer Science, 2014
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Doaa Shoukry Mohamed Abdulmutallab , "Numerical solution of singular and non singular integral equations", Brazil Departamento de Matemática, Universidade Federal de Pernambuco, CEP 50740-540, Recife-PE, 2013
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Doaa Shoukry Mohamed Abdulmutallab , "Numerical Solution of Fractional Integro-Differential Equations by Least Squares Method and Shifted Chebyshev Polynomial", Hindawi Publishing Corporation, 2014
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Doaa Shoukry Mohamed Abdulmutallab , "NUMERICAL SOLUTION OF FRACTIONAL SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS BY USING TAYLOR SERIES EXPANSION AND GALERKIN METHOD", 2014 Scientific Advances Publishers, 2014
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Doaa Shoukry Mohamed Abdulmutallab , "NONLINEAR SINGULAR INTEGRAL EQUATIONS WITH SHIFT IN THE GENERALIZED HÖLDER SPACES", USA.EUDOXUS PRESS,LLC, 2010
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Department Related Publications
Amr Mohamed Samy Mohammed Mahdi , "Numerical Study for the Fractional Differential Equations Generated by Optimization Problem Using Chebyshev Collocation Method and FDM", Natural Sciences Publishing, USA LLC (NSP), 2013
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Rodyna Ahmed Mahmoud, "Types of Generalized Open Sets with Ideal", FCS® (Foundation of Computer Science, 2013
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Rodyna Ahmed Mahmoud, "Some types of compactness via ideal", Research Publication IJSER, 2013
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Nagla Ameen Mohamed Hssan, "Analysis of multi-level queueing systems with servers breakdown by using recursive solution technique", Published by Elsevier Inc, 2012
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Usama Abdelhamid Ibrahim, "Convergence of Intuionistic Fuzzy Filters in Syntopogenous Intuionisticfuzzy Strctures", Marsland press, 2013
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