view:32167 Last Update: 2023-2-10
Ali Shokri and Farzaneh Naderloo
A Compact finite dierence scheme for one-dimensional nonlinear Klein-Gordon-Schrodinger equations |
In this paper, we study the Klein-Gordon-Schr¨odinger (KGS) equations with Dirichlet boundary conditions with high-order compact and semi-explicit finite difference scheme. The KGS equations describe a classical model of the interaction between conservative complex neutron field and neutral meson Yukawa in quantum physics. The proposed mehod has fourth-order accuracy in space and second-order accuracy in time. The obtained numerical results show that the proposed method is an efficient approach for solving the mentioned equation. |