Numerical solution of nonlinear integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functions
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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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Journal title
volume 7 issue 1
pages 97- 105
publication date 2010-01-01
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