【摘 要】
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The Gross-Pitaevskii(GP)equation is the model equation of the single-particle wave function in a Bose-Einstein condensation.A computation difficulty of the
【出 处】
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4th International Conference on Numerical Analysis of Differ
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The Gross-Pitaevskii(GP)equation is the model equation of the single-particle wave function in a Bose-Einstein condensation.A computation difficulty of the GP equation comes from the semiclassical problem in supercritical case.In this paper,we apply a diffeomorphism to transform the original one-dimensional GP equation into a modified equation.The adaptive grids are constructed through the interpolating wavelet method.Then,we use the time-splitting finite difference method with the wavelet-adaptive grids to solve the modified GP equation,where the approximation to the second-order derivative is given by the Lagrange interpolation method.At last,the numerical results are given.It is shown that the obtained time-splitting finite difference method with the wavelet-adaptive grids is very efficient for solving the one-dimensional semiclassical GP equation in supercritical case and it is suitable to deal with the local high oscillation of the solution. This paper has been published in Journal of Computational Physics,267(2014)146-161.
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