A variational form with Legendre series for linear integral equations
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Date
2017-12-12
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Université de M'sila
Abstract
In this work, we seek the approximate solution of integral equations by truncation Legendre series approximation
using a variational form for the equation. this one is reduced to a linear system where the solution of this
latter gives the Legendre coefficients and thereafter the solution of the equation.The convergence and the error
analysis of this method are discussed. Finally, we compare our numerical results by others.
Description
Keywords
linear integral equations, Legendre polynomials, collocation methods, Sloan approximation.