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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| Format: | Article |
| Language: | English |
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EJAAM
2019-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2019/10.2478-ejaam-2019-0005.pdf |
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| author | Charyyar Ashyralyyev Sedanur Efe |
| author_facet | Charyyar Ashyralyyev Sedanur Efe |
| author_sort | Charyyar Ashyralyyev |
| collection | DOAJ |
| description | 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 |
| format | Article |
| id | doaj-art-967d86bfaa9241e3863b7a3d51c1c780 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2019-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-967d86bfaa9241e3863b7a3d51c1c7802025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902019-12-01201910.2478/ejaam-2019-0005On approximation of two-dimensional potential and singular operatorsCharyyar Ashyralyyev0Sedanur Efe1Department of Mathematical Engineering, Gumushane University, 29100, Gumushane, TurkeyDepartment of Mathematical Engineering, Gumushane University, 29100, Gumushane, TurkeyThe 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 exampleshttps://ejaam.org/articles/2019/10.2478-ejaam-2019-0005.pdfspline approximationpotential integralsingular integralquadrature formulanumeric integrals |
| spellingShingle | Charyyar Ashyralyyev Sedanur Efe On approximation of two-dimensional potential and singular operators E-Journal of Analysis and Applied Mathematics spline approximation potential integral singular integral quadrature formula numeric integrals |
| title | On approximation of two-dimensional potential and singular operators |
| title_full | On approximation of two-dimensional potential and singular operators |
| title_fullStr | On approximation of two-dimensional potential and singular operators |
| title_full_unstemmed | On approximation of two-dimensional potential and singular operators |
| title_short | On approximation of two-dimensional potential and singular operators |
| title_sort | on approximation of two dimensional potential and singular operators |
| topic | spline approximation potential integral singular integral quadrature formula numeric integrals |
| url | https://ejaam.org/articles/2019/10.2478-ejaam-2019-0005.pdf |
| work_keys_str_mv | AT charyyarashyralyyev onapproximationoftwodimensionalpotentialandsingularoperators AT sedanurefe onapproximationoftwodimensionalpotentialandsingularoperators |