TITLE:
Numerical Solution of Two Dimensional Fredholm Integral Equations of the Second Kind by the Barycentric Lagrange Function*
AUTHORS:
Hongyan Liu, Jin Huang, Yubin Pan
KEYWORDS:
Two Dimensional Fredholm Integral Equations, Barycentric Lagrange Interpolation Functions, Gauss-Legendre Quadrature Formula
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.2,
February
15,
2017
ABSTRACT: This paper solves the two dimensional linear Fredholm integral equations of the second kind by combining the meshless barycentric Lagrange interpolation functions and the Gauss-Legendre quadrature formula. Inspired by this thought, we convert the equations into the associated algebraic equations. The results of the numerical examples are given to illustrate that the approximated method is feasible and efficient.