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University proceedings. Volga region. Physical and mathematical sciences, 2012, Issue 3, Pages 17–28
(Mi ivpnz470)
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Mathematics
Application of the homotopy method to solving inverse problems of potential theory
I. V. Boykov, A. I. Boikova Penza State University, Penza
Abstract:
The article shows a homotopy method for approximate solutions to reverse problems of logarithmic and Newtonian potential. The authors consider the reverse problems of logarithmic and Newtonian potential through linear and non-linear approaches. The suggested algorithms may be applied in solutions of a broad class of reverse problems, described by integral equations.
Keywords:
homotopy method, reverse problem, integral equation, regularizing method.
Citation:
I. V. Boykov, A. I. Boikova, “Application of the homotopy method to solving inverse problems of potential theory”, University proceedings. Volga region. Physical and mathematical sciences, 2012, no. 3, 17–28
Linking options:
https://www.mathnet.ru/eng/ivpnz470 https://www.mathnet.ru/eng/ivpnz/y2012/i3/p17
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Statistics & downloads: |
Abstract page: | 50 | Full-text PDF : | 16 | References: | 22 |
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