کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
513532 | 866488 | 2007 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Particular solutions of the multi-Helmholtz-type equation
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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: Particular solutions of the multi-Helmholtz-type equation Particular solutions of the multi-Helmholtz-type equation](/preview/png/513532.png)
چکیده انگلیسی
This paper is devoted to finding analytic particular solutions to a class of fourth-order partial differential equations (PDEs). This is done by using polyharmonic spline approximations to the inhomogeneity. Both the 2-D and the 3-D cases are considered, the 3-D case being simpler than the 2-D one. The solutions to the 3-D case are obtained by using the Neumann expansion of the inverse of the homogeneous operator. For the 2-D case, in addition to the finding of the solutions to the inhomogeneous equation, it is necessary to find an appropriate basis for the radial form of the homogeneous equation. These solutions may have independent interest in obtaining t-Trefftz solutions to the homogeneous multi-Helmholtz-type equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 31, Issue 7, July 2007, Pages 624–630
Journal: Engineering Analysis with Boundary Elements - Volume 31, Issue 7, July 2007, Pages 624–630
نویسندگان
A.S. Muleshkov, M.A. Golberg,