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

Theory of Approximation and Applications

مقاله 1، دوره 8، شماره 1، مرداد 2014، صفحه 1-14   

نوع مقاله: Research Articles

نویسندگان

ل. هوشنگیان^{* 1}؛ د. میرزایی²

¹دانشگاه آزاد واحد دزفول

²دانشکده ریاضی دانشگاه اصفهان

چکیده

This paper gives an ecient 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.

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