کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
512399 | 866404 | 2014 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A semi-analytical approach to Green׳s functions for heat equation in regions of irregular shape
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A semi-analytical approach to Green׳s functions for heat equation in regions of irregular shape A semi-analytical approach to Green׳s functions for heat equation in regions of irregular shape](/preview/png/512399.png)
چکیده انگلیسی
Initial-boundary-value problems are considered for the classical two-dimensional heat equation in regions of irregular configuration. A semi-analytical algorithm is proposed to accurately compute profiles of Green׳s function for such problems. The algorithm is based on a modification of the standard boundary integral equation method. To make the modification efficient, analytical representations of Green׳s functions are required for relevant regularly shaped regions. These are obtained in a closed form and employed then as kernels of the corresponding heat potentials, reducing the problem to a regular integral equation on a part of a boundary of the considered region.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 46, September 2014, Pages 108–115
Journal: Engineering Analysis with Boundary Elements - Volume 46, September 2014, Pages 108–115
نویسندگان
Yu. A. Melnikov, V. Reshniak,