Weighted numerical method and stability analysis for the ground state solution of Bose-Einstein condensate
The ground state solution of Bose-Einstein condensate(BEC)was computed by constructing a weighted method to discrete normalized gradient flow,integrating and expanding classical finite difference methods for the discrete normalized gradient flow.Meanwhile,the stability conditions for the numerical scheme under different weighted factors were proved using the von Neumann condition and the frozen coefficient method.From the point of local truncation error,the optimal weighted factor of this weighted method is 1/2.Numerical experiments verified the stability conditions of the weighted method,showing that the weighted method can effectively solve the ground state,and the energy decreases during the time evolution process.In addition,when the weighted factor is taken as 1/3,numerical results show that the corresponding numerical scheme has second-order convergence in the spatial direction.
Bose-Einstein condensateground state solutionweighted methodstabilitynormalized gradient flow
万方数据
维普
