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Solving integral equations via Walsh functions |
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| Authors: | C. H. Hsiao |
| Affiliation: | Chung-Shan Institute of Science & Technology, Lung-Tan, Taiwan Department of Electronics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong |
| Abstract: | A new method for solving integral equations based on Walsh functions is established. The solution of a convolution integral via the Walsh transform is studied first. The extension of the technique to the integral equation of the first kind is naturally obtained. In literature, the integral equation of the second kind is considered to be much more difficult to solve than the first. In this new approach, these two kinds are solved with nearly the same ease. Several numerical examples are included for illustration. |
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