Convergence Analysis of Legendre Wavelets Method for Solving Fredholm Integral Equations
نویسندگان
چکیده
Abstract In this paper, we study the Legendre wavelets for the solution of linear, nonlinear and singular Fredholm integral equations of second kind using approximation technique. The properties of Legendre wavelets together with the Gaussian integration method are used to reduce the problem to the solution of algebraic equations. The main purpose of this article is to discuss the theoretical analysis of Legendre wavelet approximation method namely, the uniqueness of solution, the convergence analysis for the solution of second kind Fredholm integral equations. Illustrative examples have been discussed to demonstrate the validity and applicability of the technique.
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