Maximum norm error bound of a linearized difference scheme for a coupled nonlinear Schrödinger equations

Authors:
Tingchun Wang
Affiliations:
-
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 19
Cited 0

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Abstract

In this article, a linearized conservative difference scheme for a coupled nonlinear Schrodinger equations is studied. The discrete energy method and an useful technique are used to analyze the difference scheme. It is shown that the difference solution unconditionally converges to the exact solution with second order in the maximum norm. Numerical experiments are presented to support the theoretical results.