THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Yong-Zheng Li

,

Le-Ming Huang

,

Ke-Long Zheng

NYSTROM METHODS AND COMBINATION FOR SOLVING THE FIRST-KIND BOUNDARY INTEGRAL EQUATION

ABSTRACT
Based on the single-layer potential theory, the Laplace equation can be converted into the problem of the first-kind boundary integral equation (BIE1st). The kernel of BIE1st is characterized by the logarithmic singularity. In this paper, we investigate the Nystrom method for solving the BIE1st. The numerical solutions possess high accuracy orders O(h3) and the combination of two kinds of Nystrom solutions has the same accuracy as the result with double grid. Furthermore, by the double power transformation, the proposed method can be used to deal with the problem on the non-smooth boundary and has the higher accuracy. The efficiency is illustrated by some examples.
KEYWORDS
Nystrom method, BIE1st, combination method
PAPER SUBMITTED: 2023-06-01
PAPER REVISED: 2023-07-20
PAPER ACCEPTED: 2024-01-14
PUBLISHED ONLINE: 2024-09-28
DOI REFERENCE: https://doi.org/10.2298/TSCI2404573L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 4, PAGES [3573 - 3579]
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Nystrom methods and combination for solving the first-kind boundary integral equation

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence