کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
513166 866454 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A meshless method of lines for the numerical solution of KdV equation using radial basis functions
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A meshless method of lines for the numerical solution of KdV equation using radial basis functions
چکیده انگلیسی

In this paper, a meshless method of lines (MOL) is presented for the numerical solution of the Korteweg–de Vries (KdV) equation. This novel method has an advantage over the traditional method of lines which approximates the spatial derivatives using finite difference method (FDM) or finite element method (FEM), because it does not need the mesh in the domain, and it approximates the solution using the radial basis functions (RBFs) on a set of node scattered in problem domain. A comparison among some RBFs is made in numerical examples. Numerical examples demonstrate the accuracy and easy implementation of this novel method and it is an efficient method for the nonlinear time-dependent partial differential equations (PDEs).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 33, Issue 10, October 2009, Pages 1171–1180
نویسندگان
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