Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
512399 | Engineering Analysis with Boundary Elements | 2014 | 8 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Yu. A. Melnikov, V. Reshniak,