A Legendre-spectral scheme for solution of nonlinear system of Volterra-Fredholm integral equations
محورهای موضوعی : Applied MathematicsL. 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
کلید واژه: Volterra-Fredholm integral equations, Nonlinear integral equations, Legendre-spectral method, Gauss Legendre points, Lagrange interpolatio,
چکیده مقاله :
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.
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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