کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4636238 1340720 2006 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator
چکیده انگلیسی

Some new conservative finite difference schemes are presented for an initial-boundary value problem of Schrödinger equation with wave operator. They have the advantages that there are some discrete energies which are conserved respectively. The existence of the solution of the finite difference schemes are proved by Leray–Schauder fixed point theorem. And the uniqueness, stability and convergence of difference solutions with order O(h2 + τ2) are proved in the energy norm. Results of numerical experiment demonstrate the efficiency of the new scheme.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 182, Issue 2, 15 November 2006, Pages 1780–1794
نویسندگان
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