In this thesis an inverse problem is solved numerically with the help of the Tikhonov Regularization. For the choice of the regularization parameter three methods are used, the discrepancy principle, the balancing principle and the sensitivity principle. Algorithms for the numerical solution of the Tikhonov regularization and the parameter choice strategies are generated. These are used to solve a linear Fredholm integral equation of the first kind with different kernel functions and various input functions. On the basis of those integral equations the quality of the different parameter choice strategies is compared graphically. In addition, another practical example, the density distribution of a hanging cable, is solved.