• Title of article

    Using of Bernstein spectral Galerkin method for solving of weakly singular Volterra–Fredholm integral equations

  • Author/Authors

    Erfanian, Majid Department of Science - School of Mathematical Sciences - University of Zabol , Zeidabadi, Hamed Faculty of Engineering - Sabzevar University of New Technology, Sabzevar

  • Pages
    7
  • From page
    103
  • To page
    109
  • Abstract
    In this work, we applied a new method for solving the linear weakly singular mixed Volterra–Fredholm integral equations. We now begin the theoretical study with acquirement of the variational form; in addition, we are using Bernstein spectral Galerkin method to be approximate to my problems. We estimate the error of the method by proved some theorems. Moreover, in the final section, we solved some numerical examples.
  • Keywords
    Linear weakly singular Volterra–Fredholm integral equation , Finite-element method , Error estimation
  • Journal title
    Astroparticle Physics
  • Serial Year
    2018
  • Record number

    2449425