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Piecewise constant solutions of integral equations via Walsh functions

 

作者: Yen‐Ping Shih,   Wei‐Kong Chia,  

 

期刊: Journal of the Chinese Institute of Engineers  （Taylor Available online 1978）
卷期: Volume 1, issue 1  

页码: 81-85

 

ISSN:0253-3839

 

年代: 1978

 

DOI:10.1080/02533839.1978.9676602

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Double Walsh series is used to obtain the piecewise‐constant solutions of integral equations as well as convolution integral. Some special properties of the Walsh functions are derived. The Volterra and Fredholm integral equations are transformed, respectively, into simultaneous linear algebraic equations, which are then solved to obtain the piecewise constant solutions.

 

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