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

Subject Areas : Applied Mathematics

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.

Received: 2015-09-30 Accepted : 2015-09-30 Published : 2013-05-01

Keywords: Legendre wavelets, Block pulse functions, Fredholm integral equations, Operational matrix,

Abstract :

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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