Semi-explicit symplectic partitioned Runge-Kutta Fourier pseudo-spectral scheme for Klein-Gordon-Schrodinger equations

被引：54

作者：

Kong, Linghua ^{[1
]}

Zhang, Jingjing ^{[2
]}

Cao, Ying ^{[1
]}

Duan, Yali ^{[3
]}

Huang, Hong ^{[1
]}

机构：

[1] Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

[2] Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China

[3] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2010年 / 181卷 / 08期

关键词：

Klein-Gordon-Schrodinger equation; Fourier pseudo-spectral; Symplectic partitioned Runge-Kutta; Stormer/Verlet integrator; INTEGRATION;

D O I：

10.1016/j.cpc.2010.04.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the manuscript, we propose an explicit symplectic partitioned Runge-Kutta Fourier pseudo-spectral (SPRK-FPS) scheme for the coupled Klein-Gordon-Schrodinger (KGS) equation. It is explicit in term of iteration since it is only required to solve two linear algebraic equations at each marching time step. Furthermore, it does not only symplectic geometric structure-preserving, but also charge-preserving and energy-preserving. The numerical results are in good agreement with the theoretical analysis. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1369 / 1377

页数：9

共 32 条

[31] A novel high-order symmetric and energy-preserving continuous-stage Runge-Kutta-Nystrom Fourier pseudo-spectral scheme for solving the two-dimensional nonlinear wave equation
Gao, Dongjie
Zhang, Peiguo
Wang, Longqin
Dai, Zhenlong
Fang, Yonglei
AIMS MATHEMATICS, 2025, 10 (03): : 6764 - 6787
[32] A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrodinger equations using an explicit time discretization: Runge-Kutta method
Dehghan, Mehdi
Mohammadi, Vahid
COMPUTER PHYSICS COMMUNICATIONS, 2017, 217 : 23 - 34

← 1 2 3 4 →