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- W2112087002 abstract "A finite-difference scheme is proposed for the one-dimensional time-dependent Schrödinger equation. We introduce an artificial boundary condition to reduce the original problem into an initial-boundary value problem in a finite-computational domain, and then construct a finite-difference scheme by the method of reduction of order to solve this reduced problem. This scheme has been proved to be uniquely solvable, unconditionally stable, and convergent. Some numerical examples are given to show the effectiveness of the scheme." @default.
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- W2112087002 date "2005-10-01" @default.
- W2112087002 modified "2023-10-18" @default.
- W2112087002 title "A finite-difference method for the one-dimensional time-dependent schrödinger equation on unbounded domain" @default.
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- W2112087002 doi "https://doi.org/10.1016/j.camwa.2005.05.006" @default.
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