A solution method for integral equations of the first kind in two and three dimensions

The main objectives of this work are to describe the theoretical use of the regularization method to solve integral equations of the first kind and to develop a solution method for integral equations of the first kind in two and three dimensions. To solve such equations, the kernels are represented by two-dimensional matrices and singular value decomposition is used to get the solutions. The regularization parameter is computed by using the L-curve method and the Discrepancy Principle.