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A linearized compact difference scheme for nonlinear Schrödinger equation
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    Abstract:

    We propose a linearized compact difference scheme for the nonlinear Schrödinger equation.The existence of the difference solution is proved by Brouwer fixed point theorem.It is proved by the discrete energy method and the method of mathematical induction that the new scheme is uniquely solvable and convergent with fourth-order in x-direction and second-order in t-direction.Numerical results verify the precision and numerical stability of the proposed scheme.

    Reference
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WANG Tingchun. A linearized compact difference scheme for nonlinear Schrödinger equation[J]. Journal of Nanjing University of Information Science & Technology,2012,4(6):569-572

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  • Received:April 21,2012
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