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Shiferaw, A. and Mittal, R.C. (2014) High Accurate Fourth-Order Finite Difference Solutions of the Three Dimensional Poisson’s Equation in Cylindrical Coordinate. American Journal of Computational Mathematics, 4, 73-86.
http://dx.doi.org/10.4236/ajcm.2014.42007

has been cited by the following article:

• TITLE: Compact Extrapolation Schemes for a Linear Schrödinger Equation

  AUTHORS: Xiuling Yin

  KEYWORDS: Schrödinger Equation, Compact Scheme, Stability, Discrete Invariant, Extrapolation

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.4 No.3, June 3, 2014

  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.