On solving first-kind integral equations using wavelets on a bounded interval
β Scribed by Goswami, J.C.; Chan, A.K.; Chui, C.K.
- Book ID
- 118029681
- Publisher
- IEEE
- Year
- 1995
- Tongue
- English
- Weight
- 895 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0018-926X
- DOI
- 10.1109/8.387178
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π SIMILAR VOLUMES
In this paper the authors propose numerical methods to approximate the solutions of systems of second kind Fredholm integral equations. They prove that such methods are stable and convergent. Error estimates in weighted L p norm, 1 p + β, are given and some numerical tests are shown.
The interpolation wavelet is used to solve the Fredholm integral equation of the second kind in this study. Hence, by the extension of interpolation wavelets that [Γ1, 1] is divided to 2 N+1 (N P Γ 1) subinterval, we have polynomials with a degree less than M + 1 in each new interval. Therefore, by