On the Stability of Finite Difference Scheme for the Schrödinger Equation Including Momentum Operator

Yıl 2022, Cilt: 7 Sayı: 2, 107 - 115, 30.09.2022

Nigar Yıldırım Aksoy , Emel Sarıahmet

Öz

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.

Anahtar Kelimeler

Schrödinger equation, finite difference method, stability

Kaynakça

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