Reproducing kernel method for Abel's second kind singular integral equations | ||
| Computational Mathematics and Computer Modeling with Applications (CMCMA) | ||
| مقاله 5، دوره 1، شماره 2، اسفند 2022، صفحه 27-34 اصل مقاله (367.95 K) | ||
| نوع مقاله: Regular paper | ||
| شناسه دیجیتال (DOI): 10.52547/CMCMA.1.2.27 | ||
| نویسندگان | ||
| Nazi Abdollahi1؛ Saeid Abbasbandy* 2 | ||
| 1Civil Engineering Department, Miaad University, Mahabad, 59141-673635, Iran | ||
| 2Imam Khomeini Int. University, Qazvin, Iran. | ||
| چکیده | ||
| Singular integral equations (SIEs) are often encountered in certain contact and fracture problems in solid mechanics. In this paper, we apply the reproducing kernel method (RKM) to give the approximate solution of Abel's second-kind singular integral equations. For solving this problem, difficulties lie in its singular term. In order to remove the singular term of the equation, an equivalent transformation is made. Solution representations are obtained in reproducing kernel Hilbert space. Numerical experiments show that our reproducing kernel method is efficient. To show the high accuracy of the method the results are compared to other numerical methods and satisfactory agreements are achieved. | ||
| کلیدواژهها | ||
| Abel integral equation؛ Reproducing Hilbert kernel space؛ Approximate solution | ||
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آمار تعداد مشاهده مقاله: 269 تعداد دریافت فایل اصل مقاله: 350 |
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