کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
521759 867785 2006 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A local discontinuous Galerkin method for the Korteweg–de Vries equation with boundary effect
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A local discontinuous Galerkin method for the Korteweg–de Vries equation with boundary effect
چکیده انگلیسی

A local discontinuous Galerkin method for solving Korteweg–de Vries (KdV)-type equations with non-homogeneous boundary effect is developed. We provide a criterion for imposing appropriate boundary conditions for general KdV-type equations. The discussion is then focused on the KdV equation posed on the negative half-plane, which arises in the modeling of transition dynamics in the plasma sheath formation [H. Liu, M. Slemrod, KdV dynamics in the plasma-sheath transition, Appl. Math. Lett. 17(4) (2004) 401–410]. The guiding principle for selecting inter-cell fluxes and boundary fluxes is to ensure the L2 stability and to incorporate given boundary conditions. The local discontinuous Galerkin method thus constructed is shown to be stable and efficient. Numerical examples are given to confirm the theoretical result and the capability of this method for capturing soliton wave phenomena and various boundary wave patterns.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 215, Issue 1, 10 June 2006, Pages 197–218
نویسندگان
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