کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638238 1631999 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein–Gordon equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein–Gordon equations
چکیده انگلیسی

We propose and analyze an efficient and accurate numerical method for solving the coupled nonlinear Klein–Gordon equations. The method is based on the application of a Gautschi-type exponential integrator in time combined with sine spectral discretization in space. The main results achieved in this paper are the rigorous error estimates in the energy space H1×H1H1×H1 for the proposed scheme. Numerical tests are reported and agree with the error estimates quite well.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 292, 15 January 2016, Pages 402–416
نویسندگان
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