کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8902574 1632142 2018 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Wave dynamics on networks: Method and application to the sine-Gordon equation
ترجمه فارسی عنوان
دینامیک موج در شبکه: روش و کاربرد در معادله سینو گوردون
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
چکیده انگلیسی
We consider a scalar Hamiltonian nonlinear wave equation formulated on networks; this is a non standard problem because these domains are not locally homeomorphic to any subset of the Euclidean space. More precisely, we assume each edge to be a 1D uniform line with end points identified with graph vertices. The interface conditions at these vertices are introduced and justified using conservation laws and an homothetic argument. We present a detailed methodology based on a symplectic finite difference scheme together with a special treatment at the junctions to solve the problem and apply it to the sine-Gordon equation. Numerical results on a simple graph containing four loops show the performance of the scheme for kinks and breathers initial conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 131, September 2018, Pages 54-71
نویسندگان
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