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

Document Type: Research Articles

Authors

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

Abstract

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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