Numerical Solution of two-dimensional Fredholm Integral Equation by Chebyshev and Legendre polynomials using Collocation Method

Faculty Science Year: 2018
Type of Publication: ZU Hosted Pages:
Authors:
Doaa Shoukry Mohamed Abdulmutallab
Journal: Universal Journal of Integral Equations papersciences Volume:
Keywords : Numerical Solution , two-dimensional Fredholm Integral Equation , Chebyshev    
Abstract:
In this paper we investigate Chebyshev and Legendre polynomials using collocation method that transforming an integral equation to a system of algebraic equations with unknown coefficients. We present two different numerical examples of two dimensional Fredholm linear integral equation. Numerical results and the estimated error are calculated in each example using Maple17.
    
     
 
       

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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