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We present an algorithm based on regularization method and wavelet collocation method to find approximate solutions of Fredholm integral equations of the first kind. First kind Fredholm integral equations are often ill-posed problems. Fredholm integral equation of the first kind is converted into approximate well posed Fredholm integral equation of the second kind by applying regularization method and then solution to the resulting equation is obtained by using collocation method with Legendre wavelets.

NUMERICAL SOLUTION OF FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND USING LEGENDRE WAVELET COLLOCATION METHOD