کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776068 | 1631961 | 2018 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Comparison of numerical methods for the Zakharov system in the subsonic limit regime
ترجمه فارسی عنوان
مقایسه روش های عددی سیستم زاخاروف در رژیم محدودۀ زیرسیونی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
We compare numerically spatial/temporal resolution of various methods for solving the Zakharov system (ZS) in the subsonic limit regime, which involves a small parameter 0<εâ¤1 inversely proportional to the acoustic speed. In this regime, i.e., 0<εâª1, the solution presents highly oscillatory initial layers due to the wave operator or the incompatibility of the initial data. Specifically, the solution propagates waves with wavelength of O(ε) and O(1) in time and space, respectively. By applying the sine pseudospectral discretization for spatial derivatives followed by a time-splitting technique for integrating the Schrödinger equation combined with an exponential wave integrator in phase space for integrating the wave equation, we propose four different numerical methods for the ZS based on different quadrature rules for approximating the integral or some property of conservation. Numerical results suggest that all the methods are spectrally accurate in space, which is uniformly for εâ(0,1]. For temporal error, the best method converges uniformly with linear convergence rate at O(Ï) in the subsonic limit regime.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 330, 1 March 2018, Pages 441-455
Journal: Journal of Computational and Applied Mathematics - Volume 330, 1 March 2018, Pages 441-455
نویسندگان
Chunmei Su,