- Turkish Journal of Science
- Vol: 7 Issue: 2
- On the Stability of Finite Difference Scheme for the Schrödinger Equation Including Momentum Operato...
On the Stability of Finite Difference Scheme for the Schrödinger Equation Including Momentum Operator
Authors : Nigar YILDIRIM AKSOY, Emel SARIAHMET
Pages : 107-115
View : 4 | Download : 2
Publication Date : 2022-09-30
Article Type : Research
Abstract :In this paper, we apply the finite difference method to a Schrödinger equation which contains a momentum operator. For this, we constitute a difference scheme. A priori estimate for the solution of difference scheme is obtained. By using this estimate, we prove that the difference scheme is unconditionally stable.Keywords : Schrödinger equation, finite difference method, stability