Title of article :
Expansion method for linear Fredholm integral equations of second kind by Chebyshev, Legendre and Shannon wavelats and the comparison of their numerical results
Author/Authors :
Paryab, K. iran university of science and technology - Department of Mathematics, تهران, ايران , Rostami, M. iran university of science and technology - Department of Mathematics, تهران, ايران
Abstract :
In this paper, we solve linear Fredholm integral equations of second kind by Chebyshev,Legendre and Shannon wavelets bases.For this,we estimate the solution of linear Fredholm integral equations by these wavelets and construct Galerkin system.To compare the efficiency of every wavelet,we consider numerical examples, whose exact solutions are available.Finally we proceed to the numerical solutions of integral equations of each wavelet.
Keywords :
Chebyshev wavelet , Legendre wavelet , Shannon wavelet , expansion method , Galerkin system
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
