کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
468445 698231 2012 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system
چکیده انگلیسی

In this paper we develop and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for solving the time-fractional coupled Schrödinger system. The method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. Through analysis we show that our scheme is unconditionally stable, and the L2L2 error estimate has the convergence rate O(hk+1+(Δt)2+(Δt)α2hk+12) for the linear case. Extensive numerical results are provided to demonstrate the efficiency and accuracy of the scheme.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 64, Issue 8, October 2012, Pages 2603–2615
نویسندگان
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