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SOLVING OF ONE-DIMENSIONAL HYPERSINGULAR INTEGRAL EQUATION USING HAAR’S WAVELETS
- Authors: Kogtenev D.A.1, Zamarashkin N.L.1
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Affiliations:
- Marchuk Institute of Numerical Mathematics of RAS
- Issue: Vol 60, No 9 (2024)
- Pages: 1241–1260
- Section: NUMERICAL METHODS
- URL: https://rjmseer.com/0374-0641/article/view/649615
- DOI: https://doi.org/10.31857/S0374064124090071
- EDN: https://elibrary.ru/JWONRU
- ID: 649615
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Abstract
We constructed a numerical method for the one-dimensional hypersingular integral equation which uses sparse matrix approximations. This method has the same convergence order as conventional methods for hypersingular integral equations but the new method is more effective in both memory and arithmetic operations.
About the authors
D. A. Kogtenev
Marchuk Institute of Numerical Mathematics of RAS
Email: kogtenev.da@phystech.edu
Moscow, Russia
N. L. Zamarashkin
Marchuk Institute of Numerical Mathematics of RAS
Author for correspondence.
Email: nikolai.zamarashkin@gmail.com
Moscow, Russia
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