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
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 More
  • 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 More
  • Doaa Shoukry Mohamed Abdulmutallab , "Numerical Solution of Fractional Integro-Differential Equations by Least Squares Method and Shifted Chebyshev Polynomial", Hindawi Publishing Corporation, 2014 More
  • 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 More
  • Doaa Shoukry Mohamed Abdulmutallab , "NONLINEAR SINGULAR INTEGRAL EQUATIONS WITH SHIFT IN THE GENERALIZED HÖLDER SPACES", USA.EUDOXUS PRESS,LLC, 2010 More

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