Title of article
A Legendre-spectral scheme for solution of nonlinear system of Volterra-Fredholm integral equations
Author/Authors
Hooshangian, L. Department of Mathematics - Dezful Branch, Islamic Azad University , Mirzaei, D. Department of Mathematics - University of Isfahan
Pages
14
From page
1
To page
14
Abstract
This paper gives an efficient numerical method for solving the nonlinear system of Volterra-Fredholm integral equations. A Legendre-spectral method based on the Legendre integration Gauss points and Lagrange interpolation is proposed to convert the nonlinear integral equations to a nonlinear system of equations where the solution leads to the values of unknown functions at collocation points.
Keywords
Volterra-Fredholm integral equations , Nonlinear integral equations , Legendre-spectral method , Gauss Legendre points , Lagrange interpolation
Journal title
نظريه تقريب و كاربردهاي آن
Serial Year
2012
Record number
2492867
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