کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
519744 867680 2015 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
An energy conservative difference scheme for the nonlinear fractional Schrödinger equations
چکیده انگلیسی

In this paper, an energy conservative Crank–Nicolson difference scheme for nonlinear Riesz space-fractional Schrödinger equations is studied. We give a rigorous analysis of the conservation properties, including mass conservation and energy conservation in the discrete sense. Based on Brouwer fixed point theorem, the existence of the difference solution is proved. By virtue of the energy method, the difference solution is shown to be unique and convergent at the order of O(τ2+h2)O(τ2+h2) in the l2l2-norm with time step τ and mesh size h. Finally a linearized iterative algorithm is presented and numerical experiments are given to confirm the theoretical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 293, 15 July 2015, Pages 238–251
نویسندگان
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