کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629790 1340586 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The meshless kernel-based method of lines for solving the equal width equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The meshless kernel-based method of lines for solving the equal width equation
چکیده انگلیسی

The Equal Width equation governs nonlinear wave phenomena like waves in shallow water. Here, it is solved numerically by the Method of Lines using a somewhat unusual setup. There is no linearization of the nonlinear terms, no error in handling the starting approximation, and there are boundary conditions only at infinity. To achieve a space discretization of high accuracy with only few trial functions, meshless translates of radial kernels are used. In the numerical examples, the motion of solitary waves, the interaction of two and three solitary waves, the generation of wave undulation, the Maxwell initial condition, and the clash of two colliding solitary waves are simulated. Our numerical results compare favourably with results of earlier papers using other techniques.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 10, 15 January 2013, Pages 5224–5232
نویسندگان
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