On approximate solution of the Dixon integral equation and some its generalizations
The paper is devoted to the study and numerical analytical solution of Fredholm-type integral equations of the second kind with symmetric kernels represented by homogeneous functions of degree (-1). The well-known Dixon equation and some its direct generalizations are specially considered. The equat...
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| Veröffentlicht in: | Computational mathematics and mathematical physics 2017-07, Vol.57 (7), p.1158-1166 |
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| container_title | Computational mathematics and mathematical physics |
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| creator | Barseghyan, A. G. |
| description | The paper is devoted to the study and numerical analytical solution of Fredholm-type integral equations of the second kind with symmetric kernels represented by homogeneous functions of degree (-1). The well-known Dixon equation and some its direct generalizations are specially considered. The equations are solved by passing to a Wiener–Hopf equation and applying the kernel averaging method. Results of numerical calculations are presented. |
| doi_str_mv | 10.1134/S0965542517070041 |
| format | Article |
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Results of numerical calculations are presented.</description><identifier>ISSN: 0965-5425</identifier><identifier>EISSN: 1555-6662</identifier><identifier>DOI: 10.1134/S0965542517070041</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Computational Mathematics and Numerical Analysis ; Fredholm equations ; Integral equations ; Kernels ; Mathematical analysis ; Mathematics ; Mathematics and Statistics ; Wiener Hopf equations</subject><ispartof>Computational mathematics and mathematical physics, 2017-07, Vol.57 (7), p.1158-1166</ispartof><rights>Pleiades Publishing, Ltd. 2017</rights><rights>Computational Mathematics and Mathematical Physics is a copyright of Springer, 2017.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c268t-ec5f4654d04ed6e6dd4d3e90412b21f9681ea9d08e767cecb3beda113d0cb8bc3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0965542517070041$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0965542517070041$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Barseghyan, A. 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| ispartof | Computational mathematics and mathematical physics, 2017-07, Vol.57 (7), p.1158-1166 |
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| language | eng |
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| subjects | Computational Mathematics and Numerical Analysis Fredholm equations Integral equations Kernels Mathematical analysis Mathematics Mathematics and Statistics Wiener Hopf equations |
| title | On approximate solution of the Dixon integral equation and some its generalizations |
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