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Spline collocation method for solving the third-kind Volterra integral equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 26 تیر 1405 اصل مقاله (325.27 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.35545.5287 | ||
| نویسنده | ||
| Ali Davari* | ||
| Department of Mathematics, Khansar Campus, University of Isfahan, Iran. | ||
| تاریخ دریافت: 14 مهر 1402، تاریخ بازنگری: 15 مهر 1403، تاریخ پذیرش: 15 مهر 1403 | ||
| چکیده | ||
| In this paper, we consider the Volterra integral equations (VIEs) of the third kind. A procedure, using spline functions, for obtaining approximate solutions to Volterra integral equations of the third kind is presented. We develop an efficient spline collocation method for solving this type of equations. The proposed scheme is especially suited for VIEs in polynomial spline space, due to its essential feature of local approximations on subintervals. We then use these results in the convergence analysis of a polynomial spline collocation method for solving such problems numerically. The solvability of spline collocation methods is accessed, and the convergence analysis is studied. Numerical results confirm the spectral accuracy and the theoretical results of the proposed method. | ||
| کلیدواژهها | ||
| The third-kind Volterra functional integral equations؛ Spline collocation method؛ Convergence analysis | ||
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آمار تعداد مشاهده مقاله: 7 تعداد دریافت فایل اصل مقاله: 2 |
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