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:
نظریه تقریب و کاربرد های آنجلد ۷، شماره ۱، صفحات ۹۷-۱۰۵
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