کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
513302 866466 2010 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Local RBF-based differential quadrature collocation method for the boundary layer problems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Local RBF-based differential quadrature collocation method for the boundary layer problems
چکیده انگلیسی

In this article, the local RBF-based differential quadrature (LRBFDQ) collocation method is presented for the boundary layer problems, i.e., the singularly perturbed two-point boundary value problems. This novel method has an advantage over the globally supported RBF collocation method because it approximates the derivatives by RBF interpolation using a small set of nodes in the neighborhood of any collocation node. So it needs much less computational work than the globally supported RBF collocation method. It also could easily use the nodes in local support domain on the upwind side to obtain the non-oscillatory solution of boundary layer problems. Numerical examples are made by the multiquadric (MQ) RBF. Compared with the globally supported RBF collocation method and the finite difference method, numerical results demonstrate the accuracy and easy implementation of the LRBFDQ collocation method, even for the extremely thin layers in the boundary layer problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 34, Issue 3, March 2010, Pages 213–228
نویسندگان
,