Convergence of an Eighth-Order Compact Difference Scheme for the Nonlinear Schrödinger Equation
نویسندگان
چکیده
منابع مشابه
Convergence of an Eighth-Order Compact Difference Scheme for the Nonlinear Schrödinger Equation
A new compact difference scheme is proposed for solving the nonlinear Schrödinger equation. The scheme is proved to conserve the total mass and the total energy and the optimal convergent rate, without any restriction on the grid ratio, at the order of O h8 τ2 in the discrete L∞-norm with time step τ and mesh size h. In numerical analysis, beside the standard techniques of the energy method, a ...
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ژورنال
عنوان ژورنال: Advances in Numerical Analysis
سال: 2012
ISSN: 1687-9562,1687-9570
DOI: 10.1155/2012/913429