• Title of article

    Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations

  • Author/Authors

    Gachpazan، Morteza نويسنده Ferdowsi University of Mashhad , , Erfanian، Majid نويسنده Ferdowsi University of Mashhad , , Beiglo، Hosien نويسنده Ferdowsi University of Mashhad ,

  • Issue Information
    دوفصلنامه با شماره پیاپی 0 سال 2014
  • Pages
    11
  • From page
    73
  • To page
    83
  • Abstract
    ‎In this paper‎, ‎we construct a new iterative method for solving nonlinear Volterra Integral Equation of second kind‎, ‎by approximating the Legendre polynomial basis‎. ‎Error analysis is worked using Banach fixed point theorem‎. ‎We compute the approximate solution without using numerical method‎. ‎Finally‎, ‎some examples are given to compare the results with some of the existing methods‎.
  • Journal title
    Iranian Journal of Numerical Analysis and Optimization
  • Serial Year
    2014
  • Journal title
    Iranian Journal of Numerical Analysis and Optimization
  • Record number

    1655324

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1655324