Numerical solution of the Yukawa-coupled Klein-Gordon-Schrodinger equations via a Chebyshev pseudospectral multidomain method

作者：Dehghan Mehdi^*; Taleei Ameneh

来源：Applied Mathematical Modelling, 2012, 36(6): 2340-2349.

DOI：10.1016/j.apm.2011.08.030

• Klein-Gordon-Schrodinger (KGS) equations
• Chebyshev Pseudospectral method
• Multidomain decomposition method
• Pseudospectral multidoamin method
• Single soliton

The Klein-Gordon-Schrodinger equations describe a classical model of the interaction between conservative complex neutron field and neutral meson Yukawa in quantum theory. In this paper, we study the long-time behavior of solutions for the Klein-Gordon-Schrodinger equations. We propose the Chebyshev pseudospectral collocation method the approximation in the spatial variable and the explicit Runge-Kutta method in time cretization. In comparison with the single domain, the domain decomposition method have good spatial localization and generate a sparse space differentiation matrix with accuracy. In this study, we choose an overlapping multidomain scheme. The obtained numerical results show the Pseudospectral multidomain method has excellent long-time numerical behavior and illustrate the effectiveness of the numerical scheme in contro two particles. Some comparisons with single domain pseudospectral and finite difference methods will be also investigated to confirm the efficiency of the new procedure.

• 出版日期2012-6