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Chelyshkov operational matrix of fractional integration for solving Volterra integral equations of the third kind | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 مرداد 1405 اصل مقاله (1.28 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.71851.3608 | ||
| نویسندگان | ||
| Sohrab Bazm* 1؛ Sahar Pazhouhesh1؛ Monireh Nosrati Sahlan2 | ||
| 1Department of Mathematics, Faculty of Science, University of Maragheh, 55136-553 Maragheh, Iran. | ||
| 2Department of mathematics and Computer Science, Faculty of Basic Science, University of Bonab, 55513-95133 Bonab, Iran. | ||
| چکیده | ||
| A numerical method is presented for solving third-kind linear Volterra integral equations with smooth ($\alpha=0$) and weakly singular ($0<\alpha<1$) kernels. Using the operational matrix of fractional integration with Chelyshkov polynomials, the integral equation is transformed into a system of linear algebraic equations whose solution provides an accurate approximation. Residual error estimates are derived to assess the accuracy of the proposed method. Three numerical examples illustrate its efficiency, precision, and practical applicability. | ||
| کلیدواژه‌ها | ||
| Chelyshkov polynomials؛ Riemann–Liouville fractional integral؛ Cordial integral equations؛ Third-kind integral equations | ||
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آمار تعداد مشاهده مقاله: 206 تعداد دریافت فایل اصل مقاله: 117 |
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