In this paper,a new method is proposed for computing numerical solution for integral equation of the first kind in two dimensions by using a modificatory Tikhonov regularization,and the proof of the existence and uniqueness of the solution is given.

In this thesis we apply it to get the stable solution of integral equation of the first kind.

The solution of an ill-posed Fredholm integral equation of the first kind which is the mathematic pattern of millimeter wave radiometer’s antenna temperatures is obtained and the.

In order to obtain the radiometric brightness temperatures of the armoured target, a Fredholm integral equation of the first kind must be solved.

To calculate the brightness temperature distribution from the measured antenna temperature,a Fredholm integral equation of the first kind must be solved.

The ill posedness of solving the first kind of Fredholm integral equations is investigated.

This paper mainly supply a new method of solving the first category of singular intergral equation with Cauchy core along simple curve1πi∫lf(t)t-t0dt+12πi∫lk(t,t0)f(t)dt=g(t0)also show the solution\'s specific expression and caculating example.

In this paper,wavelets are selected as basis functions to estimate a solution for Volterra integral equation of the first kind,collocation method is used as a projection method to convert integral equation to the system of linear equations.