Numerical solution of nonlinear integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functions
الموضوعات :M. Tavassoli Kajani 1 , S. Mahdavi 2
1 - Department of Mathematics, Islamic Azad University, , Khorasgan Branch, Isfahan, Iran.
2 - Department of Mathematics, Islamic Azad University, , Khorasgan Branch, Isfahan, Iran.
الکلمات المفتاحية: Legendre wavelets, Block pulse functions, Fredholm integral equations, Operational matrix,
ملخص المقالة :
In this paper, we use a combination of Legendre and Block-Pulse functionson 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 asystem of nonlinear equations. We give some numerical examples. To showapplicability of the proposed method.
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