On approximation of two-dimensional potential and singular operators
The purpose of this paper is the construction of second-order of accuracy quadrature formulas for the numerical calculation of the Vekua types two-dimensional potential and singular integral operators in the unit disk of complex plane. We propose quadrature formulas for these integrals which based o...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EJAAM
2019-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
| Subjects: | |
| Online Access: | https://ejaam.org/articles/2019/10.2478-ejaam-2019-0005.pdf |
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| Summary: | The purpose of this paper is the construction of second-order of accuracy quadrature formulas for the numerical calculation of the Vekua types two-dimensional potential and singular integral operators in the unit disk of complex plane. We propose quadrature formulas for these integrals which based on first-order spline approximation of two-dimensional function. MATLAB programs are used for numerical experiments in test examples |
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| ISSN: | 2544-9990 |