کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640961 1632053 2009 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A rational spectral method for the KdV equation on the half line
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A rational spectral method for the KdV equation on the half line
چکیده انگلیسی

A Petrov–Galerkin method using orthogonal rational functions is proposed for the Korteweg–de Vries (KdV) equation on the half line with initial-boundary values. The nonlinear term and the right-hand side term are treated by Chebyshev rational interpolation explicitly, and the linear terms are computed with the Galerkin method implicitly. Such an approach is applicable using fast algorithms. Numerical results are presented for problems with both exponentially and algebraically decaying solutions, respectively, highlighting the performance of the proposed method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 230, Issue 2, 15 August 2009, Pages 614–625
نویسندگان
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