کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633002 1340660 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A numerical method with particle conservation for the Maxwell–Dirac system
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A numerical method with particle conservation for the Maxwell–Dirac system
چکیده انگلیسی

A numerical method is presented for solving the Maxwell–Dirac systems. The Maxwell equations with particle and current densities as the source terms are discretized explicitly. To guarantee the particle conservation, the Dirac equations coupled electromagnetic potentials are discretized by the time-splitting method and implicit finite difference. These numerical schemes are conservative in particle density and have second-order accuracy in time and space. One-dimensional numerical results are given to validate the accuracy and the conservation and three-dimensional examples are presented to describe dynamical behaviors of the Maxwell–Dirac system with several external potentials.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 4, 15 April 2010, Pages 1096–1108
نویسندگان
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