Improved numerical approach for the time-independent Gross-Pitaevskii nonlinear Schrödinger equation
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In the present work, we improve a numerical method, developed to solve the Gross-Pitaevkii nonlinear Schrödinger equation. A particular scaling is used in the equation, which permits us to evaluate the wave-function normalization after the numerical solution. We have a two-point boundary value problem, where the second point is taken at infinity. The differential equation is solved using the shooting method and Runge-Kutta integration method, requiring that the asymptotic constants, for the function and its derivative, be equal for large distances. In order to obtain fast convergence, the secant method is used. © 1999 The American Physical Society.
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Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 60, n. 2 B, p. 2421-2424, 1999.
