A Multiscale Moment Method for Solving Fredholm Integral Equation of the First Kind - Summary
作者:
C. Su,
T.K. Sarkar,
期刊:
Journal of Electromagnetic Waves and Applications
(Taylor Available online 1998)
卷期:
Volume 12,
issue 1
页码: 97-101
ISSN:0920-5071
年代: 1998
DOI:10.1163/156939398X00089
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The aim of this paper is to deal with the problem of numerical solution of Fredholm integral equation of the first kind. First, a new kind of basis functions has been proposed based on multiscale method and wavelet-like basis. Second, by using this basis, the multiscale moment method for solving Fredholm integral equation of the first kind in one dimension has been proposed. Furthermore, the adaptive algorithm of the multiscale moment method has been presented according to the characteristics of the integral equation. Many numerical simulations are carried out to test the feasibility of the multiscale method and the implemented adaptive algorithm. It is found that the two multiscaling algorithms can provide good results. The adaptive algorithm can reduce the orders of linear equations constructed by multiscale moment method for Fredholm integral equation. It is a very effective algorithm to solve integral equations.
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