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A multi-interval continuous collocation method for Volterra integral equations of the third kind | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 28 آذر 1404 اصل مقاله (1.1 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.67851.3244 | ||
| نویسنده | ||
| Ali Davari* | ||
| Department of Mathematics, Khansar Campus, University of Isfahan, Iran. | ||
| چکیده | ||
| This paper considers Volterra integral equations (VIEs) of the third kind. We present a novel multi-interval collocation-based approach for the numerical solution of this type of equations. The proposed method is particularly effective for VIEs when implemented in continuous piecewise polynomial spaces, leveraging its ability to perform localized approximations on subintervals. We also analyze the solvability of the proposed continuous collocation schemes and establish its convergence properties. Numerical experiments are included to demonstrate the spectral accuracy of the method and validate the theoretical findings. | ||
| کلیدواژهها | ||
| Continuous piecewise polynomials؛ Volterra integral equations of the third kind؛ Solvability؛ Convergence analysis؛ Collocation method | ||
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آمار تعداد مشاهده مقاله: 26 تعداد دریافت فایل اصل مقاله: 37 |
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