A conservative difference scheme for two-dimensional nonlinear Schrödinger equation with wave operator (Q2808866)
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scientific article; zbMATH DE number 6584622
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A conservative difference scheme for two-dimensional nonlinear Schrödinger equation with wave operator |
scientific article; zbMATH DE number 6584622 |
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A conservative difference scheme for two-dimensional nonlinear Schrödinger equation with wave operator (English)
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25 May 2016
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Schrödinger equation
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difference scheme
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conservative
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convergence
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stability
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energy estimate
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numerical experiments
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This paper is interested in a conservative finite difference scheme applied on the two-dimensional nonlinear Schrödinger equation with wave operator. The discrete energy method is used for an analysis of the presented scheme. The numerical solution is shown to be conservative, unconditionally stable and convergent with second order. The theoretical result is supported by numerical experiments.
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