Numerical Solution of Two Dimensional Fredholm Integral Equations of the Second Kind by the Barycentric Lagrange Function* - Journal of Applied Mathematics and Physics

JAMP > Vol.5 No.2, February 2017

Numerical Solution of Two Dimensional Fredholm Integral Equations of the Second Kind by the Barycentric Lagrange Function* ()

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DOI: 10.4236/jamp.2017.52023 1,346 Downloads 2,726 Views Citations

Author(s)

Hongyan Liu, Jin Huang, Yubin Pan

Affiliation(s)

School of Mathematical sciences, University of Electronic Science and Technology of China, Chengdu, China.

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.

KEYWORDS

Two Dimensional Fredholm Integral Equations, Barycentric Lagrange Interpolation Functions, Gauss-Legendre Quadrature Formula

Share and Cite:

Liu, H. , Huang, J. and Pan, Y. (2017) Numerical Solution of Two Dimensional Fredholm Integral Equations of the Second Kind by the Barycentric Lagrange Function*. Journal of Applied Mathematics and Physics, 5, 259-266. doi: 10.4236/jamp.2017.52023.

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