Title of article :
A semi-analytical approach to Green׳s functions for heat equation in regions of irregular shape
Author/Authors :
Melnikov، نويسنده , , Yu. A. and Reshniak، نويسنده , , V.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2014
Pages :
8
From page :
108
To page :
115
Abstract :
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.
Keywords :
Two-dimensional heat equation , Regions of irregular shape , Semi-analytical approach , Green?s functions
Journal title :
Engineering Analysis with Boundary Elements
Serial Year :
2014
Journal title :
Engineering Analysis with Boundary Elements
Record number :
1446927
Link To Document :
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