American Journal of Computational Mathematics

Volume 4, Issue 3 (June 2014)

ISSN Print: 2161-1203   ISSN Online: 2161-1211

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Compact Extrapolation Schemes for a Linear Schrödinger Equation

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DOI: 10.4236/ajcm.2014.43017    4,116 Downloads   4,832 Views  
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ABSTRACT

This paper proposes a kind of compact extrapolation schemes for a linear Schr?dinger equation. The schemes are convergent with fourth-order accuracy both in space and time. Especially, a specific scheme of sixth-order accuracy in space is given. The stability and discrete invariants of the schemes are analyzed. The schemes satisfy discrete conservation laws of original Schr?dinger equation. The numerical example indicates the efficiency of the new schemes.

Cite this paper

Yin, X. (2014) Compact Extrapolation Schemes for a Linear Schrödinger Equation. American Journal of Computational Mathematics, 4, 206-212. doi: 10.4236/ajcm.2014.43017.

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