Numerical solution of nonlinear integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functions

Theory of Approximation and Applications

مقاله 8، دوره 7، شماره 1، مرداد 2013، صفحه 97-105   

نوع مقاله: Research Articles

نویسندگان

M. Tavassoli Kajani^* ؛ S. Mahdavi

Department of Mathematics, Islamic Azad University, , Khorasgan Branch, Isfahan, Iran.

چکیده

In this paper, we use a combination of Legendre and Block-Pulse functions
on the interval [0; 1] to solve the nonlinear integral equation of the second kind.
The nonlinear part of the integral equation is approximated by Hybrid Legen-
dre Block-Pulse functions, and the nonlinear integral equation is reduced to a
system of nonlinear equations. We give some numerical examples. To show
applicability of the proposed method.

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