Open AccessComparison of Chebyshev and Legendre polynomials methods for solving two dimensional Volterra - Fredholm integral equations
Author(s) -
Doaa Mohamed,
R.A. Taher
Publication year - 2017
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2017.03.002
Subject(s) - legendre polynomials , mathematics , chebyshev polynomials , chebyshev equation , chebyshev iteration , chebyshev filter , volterra integral equation , chebyshev nodes , fredholm integral equation , integral equation , mathematical analysis , volterra equations , legendre's equation , classical orthogonal polynomials , orthogonal polynomials , nonlinear system , physics , quantum mechanics
In this paper we apply Chebyshev and Legendre polynomials methods to obtain the approximate solution of mixed Volterra - Fredholm singular integral equations. Comparison between the two methods has been presented, we present some examples to determine the accuracy of the methods