• Title of article

    Toeplitz matrix method and nonlinear integral equation of Hammerstein type

  • Author/Authors

    Abdou، نويسنده , , M.A. and El-Borai، نويسنده , , M.M. and El-Kojok، نويسنده , , M.M.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    12
  • From page
    765
  • To page
    776
  • Abstract
    The existence and uniqueness solution of the nonlinear integral equation of Hammerstein type with discontinuous kernel are discussed. The normality and continuity of the integral operator are proved. Toeplitz matrix method is used, as a numerical method, to obtain a nonlinear system of algebraic equations. Also, many important theorems related to the existence and uniqueness of the produced algebraic system are derived. Finally, numerical examples, when the kernel takes a logarithmic and Carleman forms, are discussed and the estimate error, in each case, is calculated.
  • Keywords
    Nonlinear Integral Equation , Hammerstein type , Toeplitz matrix method , Nonlinear algebraic system
  • Journal title
    Journal of Computational and Applied Mathematics
  • Serial Year
    2009
  • Journal title
    Journal of Computational and Applied Mathematics
  • Record number

    1554744