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Legendre-collocation method to solve the second kind Cauchy integral equations | ||
| Journal of Mathematical Modeling | ||
| مقاله 26، دوره 13، شماره 1، خرداد 2025، صفحه 209-218 اصل مقاله (377.54 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2024.27832.2451 | ||
| نویسندگان | ||
| Arezoo Heidari1؛ Saeid Khezerloo* 1؛ Alireza Gilani2؛ Rahele Nuraei1؛ Muhammad Arghand1 | ||
| 1Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| چکیده | ||
| A numerical solution for the second kind singular integral equations with Cauchy kernel is developed using the collocation method. To achieve this, we approximate the Cauchy integral equation using the collocation method and Legendre orthogonal polynomial expansions. The accuracy of our proposed method is assessed through convergence and error analysis. Finally, several numerical examples are presented to demonstrate the high efficiency of the method. | ||
| کلیدواژهها | ||
| Cauchy integral equation؛ Legendre polynomials؛ collocation method | ||
| مراجع | ||
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