Solution of initial boundary value problems by finite difference method for non-stationaryequation of quasi optics

In this thesis, the initial boundary problems are studied for non-statıonary equation of quasi optics. In the 3.1. section, describing first-type initial boundary value problem a difference scheme belong to this problem is constituted. A stability estimation is obtained for the solution of difference scheme using Cauchy-Bunyakovskii's inequality and Gronwall's lemma. Using the stability estimation an estimation for the error of difference scheme is obtained. In the 3.2 section, describing the second-type initial-boundary value problem a stability estimation for the solution of difference scheme belong to this problem is obtained. The error of difference scheme using obtained estimation is evaluated. Consequently, an algorithm is given for the numeral solutions of first and second-type initial-boundary value problems.