A Legendre-spectral scheme for solution of nonlinear system of Volterra-Fredholm integral equations

Subject Areas : Applied Mathematics

L. Hooshangian ¹ , D. Mirzaie ²

1 - Department of Mathematics, Dezful Branch, Islamic Azad University, Dezful, Ira
2 - Department of Mathematics, University of Isfahan, Isfahan, Iran

Received: 2011-03-10 Accepted : 2012-01-11 Published : 2014-05-01

Keywords: Volterra-Fredholm integral equations, Nonlinear integral equations, Legendre-spectral method, Gauss Legendre points, Lagrange interpolatio,

Abstract :

This paper gives an ecient numerical method for solving the nonlinear systemof Volterra-Fredholm integral equations. A Legendre-spectral method based onthe Legendre integration Gauss points and Lagrange interpolation is proposedto convert the nonlinear integral equations to a nonlinear system of equationswhere the solution leads to the values of unknown functions at collocationpoints.

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