Application of Lerch Polynomials to Approximate Solution of Singular Fredholm Integral Equations with Cauchy Kernel

Faculty Science Year: 2022
Type of Publication: ZU Hosted Pages: 10
Authors:
Doaa Shoukry Mohamed Abdulmutallab
Journal: Appl. Math. Inf. Sci. Natural Sciences Publishing Volume:
Keywords : Application , Lerch Polynomials , Approximate Solution , Singular Fredholm    
Abstract:
In this paper, we develop an effective method based on Lerch polynomials to provide an approximate solution of various cases of Cauchy type singular integral equations. The method reduces the solution of given singular integral equation to the solution of a matrix equation corresponding to linear system of algebraic equations with unknown Lerch coefficients. Error estimation of the presented method is mentioned. Finally, several examples show the reliability and efficiently of the proposed method.
    
     
 
       

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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