Kragujevac Journal of Mathematics
University of Kragujevac - Faculty of Science

Numerical Solution of Shrödinger Equations Based on the Meshless Methods

---

Download PDF

Authors: M. RAHIMI, S. M. KARBASSI AND M. R. HOOSHMANDASL

DOI: 10.46793/KgJMat2206.929R

Abstract:

In this work, two-dimensional time-dependent quantum equation problems are studied. We introduce a numerical algorithm for solving the two-dimensional nonlinear complex quantum system with MLS and FDM methods. An efficient and accurate computational algorithm based on both, the moving least squares (MLS) and the finite difference (FDM) methods is proposed for solving it. The results demonstrate that the proposed algorithm is a robust algorithm with good accuracy. This is developed on MLS and FDM methods using numerical simulation for solving these kind of problems.

Keywords:

Time-dependent quantum equations, moving least squares (MLS) method, finite difference scheme (FDM).

References: