کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10132718 | 1645577 | 2018 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The closed-form particular solutions for the Laplace operator using oscillatory radial basis functions in 2D
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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: The closed-form particular solutions for the Laplace operator using oscillatory radial basis functions in 2D The closed-form particular solutions for the Laplace operator using oscillatory radial basis functions in 2D](/preview/png/10132718.png)
چکیده انگلیسی
The closed-form particular solutions of the radial basis functions (RBFs) are essential for the implementation of several numerical methods to solve various partial differential equations (PDEs). Recently, a new class of oscillatory RBFs has been introduced. In this paper, we derive the closed-form particular solutions of the oscillatory RBFs for the Laplace operator in 2D so that it can be applied to particular solutions based numerical methods. We have successfully implemented the newly derived particular solutions in the method of particular solutions (MPS) for solving Poisson's equation as well as elliptic PDEs with variable coefficients.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 96, November 2018, Pages 187-193
Journal: Engineering Analysis with Boundary Elements - Volume 96, November 2018, Pages 187-193
نویسندگان
A.R. Lamichhane, B. Khatri Ghimire, Y. Wakayama, A. Sube,