@article{article_1018127, title={Numerical Approximation for 2-Dimensional Schrödinger Equation Using Modified Gauss Elimination Method}, journal={Avrupa Bilim ve Teknoloji Dergisi}, pages={653–658}, year={2022}, DOI={10.31590/ejosat.1018127}, author={Aydın, Tarkan and Sırma, Ali}, keywords={Modified Gauss elimination method, Rothe difference scheme, Self-adjoint operator}, abstract={In this study, modifed Gauss elimination method will be used to obtain solution of first order Rothe difference scheme and second order Crank-Nicholson difference scheme for numerical approximation of two-dimensional Schrödinger equation in space variable. One example is given and approximate solution is found by three methods. Modified Gauss elimination method is used with respect to time variable and with respect to space variable. In order to compare the difference schemes are also solved by the classical inverse matrix method.}, number={35}, publisher={Osman SAĞDIÇ}