[HTML][HTML] Maximum norm error bound of a linearized difference scheme for a coupled nonlinear Schrödinger equations
T Wang - Journal of computational and applied mathematics, 2011 - Elsevier
Journal of computational and applied mathematics, 2011•Elsevier
In this article, a linearized conservative difference scheme for a coupled nonlinear
Schrödinger 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.
Schrödinger 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.
Abstract
In this article, a linearized conservative difference scheme for a coupled nonlinear Schrödinger 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.
Elsevier
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