کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
502077 863679 2014 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The numerical solution of the nonlinear Klein–Gordon and Sine–Gordon equations using the Chebyshev tau meshless method
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی تئوریک و عملی
پیش نمایش صفحه اول مقاله
The numerical solution of the nonlinear Klein–Gordon and Sine–Gordon equations using the Chebyshev tau meshless method
چکیده انگلیسی

In this work, we study the numerical solutions of one-dimensional Klein–Gordon and Sine–Gordon equations using the Chebyshev tau meshless method based on the integration–differentiation (CTMMID). First, we apply CTMMID to discretize both space and time variables. The initial and boundary conditions could be incorporated efficiently with full CTMMID. Furthermore, we introduce the Domain Decomposition Method (DDM) in space and the block-marching technique in time for problems defined in large interval and long time computing. The numerical results are more accurate and with less computational effort than some existing studies.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Physics Communications - Volume 185, Issue 5, May 2014, Pages 1399–1409
نویسندگان
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