Title of article
Numerical solution of nonlinear integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functions
Author/Authors
Tavassoli Kajani, M. Department of Mathematics - Khorasgan Branch, Islamic Azad University , Mahdavi, S. Department of Mathematics - Khorasgan Branch, Islamic Azad University
Pages
9
From page
97
To page
105
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 Legendre 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.
Keywords
Legendre wavelets , Block pulse functions , Fredholm integral equations , Operational matrix
Journal title
نظريه تقريب و كاربردهاي آن
Serial Year
2011
Record number
2492864
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