Abstract
This paper presents an axisymmetric numerical integration by using boundary integral equations and the polyharmonic function. In conventional numerical integration, a given region is divided into several standard regions, for which a rule of approximate integration is available. However, it is troublesome to decompose a bounded region into elementary standard regions. The presented method does not require decomposition. This method requires a boundary geometry of the region and arbitrary internal points. The integral value is calculated after solving the discretized boundary integral equations. In order to investigate the efficiency of this method, several examples are given.
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