کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6925080 | 1448676 | 2018 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Improved Kansa RBF method for the solution of nonlinear boundary value problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Improved Kansa RBF method for the solution of nonlinear boundary value problems Improved Kansa RBF method for the solution of nonlinear boundary value problems](/preview/png/6925080.png)
چکیده انگلیسی
We apply the Kansa-radial basis function (RBF) collocation method to two-dimensional nonlinear boundary value problems. In it, the solution is approximated by a linear combination of RBFs and the governing equation and boundary conditions are satisfied in a collocation sense at interior and boundary points, respectively. The nonlinear system of equations resulting from the Kansa-RBF discretization for the unknown coefficients in the RBF approximation is solved by directly applying a standard nonlinear solver. In a natural way, the value of the shape parameter in the RBFs employed in the approximation may be included in the unknowns to be determined. The numerical results of several examples are presented and analyzed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 87, February 2018, Pages 173-183
Journal: Engineering Analysis with Boundary Elements - Volume 87, February 2018, Pages 173-183
نویسندگان
Malgorzata A. Jankowska, Andreas Karageorghis, C.S. Chen,