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Potential theory: reformulating boundary‐value problems as integral equations

 

作者: S. J. Farlow,  

 

期刊: International Journal of Mathematical Education in Science and Technology  （Taylor Available online 1998）
卷期: Volume 29, issue 1  

页码: 97-104

 

ISSN:0020-739X

 

年代: 1998

 

DOI:10.1080/0020739980290109

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

We give an intuitive physical explanation showing how the Neumann and Dirichlet boundary‐value problems for Laplace's equation can be rewritten as integral equations by the use of single‐ and double‐layer boundary potentials. The ideas presented here are representative of some of the basic ideas of potential theory.

 

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