The aim of this paper is to propose a fast meshless numerical scheme for the simulation of non-linear Schrodinger *** the proposed scheme,the implicit-Euler scheme is used for the temporal discretization and the local...
详细信息
The aim of this paper is to propose a fast meshless numerical scheme for the simulation of non-linear Schrodinger *** the proposed scheme,the implicit-Euler scheme is used for the temporal discretization and the localized method of approximate particular solution(LMAPS)is utilized for the spatial *** multiple-scale technique is introduced to obtain the shape parameters of the multiquadric radial basis function for 2D problems and the Gaussian radial basis function for 3D *** numerical examples are carried out to verify the accuracy and efficiency of the proposed *** with well-known techniques,numerical results illustrate that the proposed scheme is of merits being easy-to-program,high accuracy,and rapid convergence even for long-term *** results also indicate that the proposed scheme has great potential in large scale problems and real-world applications.
暂无评论