An Iterative Method for Numerically Solving a Class of Linear Volterra Delay Integral Equations | ||
| Mathematics Interdisciplinary Research | ||
| دوره 10، شماره 3، آذر 2025، صفحه 251-265 اصل مقاله (635.6 K) | ||
| نوع مقاله: Original Scientific Paper | ||
| شناسه دیجیتال (DOI): 10.22052/mir.2025.256332.1502 | ||
| نویسندگان | ||
| Abolfazl Tari* ؛ Fahimeh Zyiaee | ||
| Department of Mathematics, Shahed University, Tehran, I. R. Iran | ||
| چکیده | ||
| In this paper, a numerical method based on a recursive relation (sequence) is presented for numerically solving a class of linear Volterra delay integral equations (VDIEs), where the recursive relation is obtained from the considered integral equation itself. For this purpose, first, using the Banach fixed point theorem, the existence and uniqueness of the solution to the considered VDIEs are proven. It is also proven that the sequence mentioned above converges to the solution of the equation. Then, by considering a finite number of terms of the said sequence, an approximation to the solution of the equation is obtained. Finally, some numerical examples are given to verify the accuracy and efficiency of the proposed method. | ||
| کلیدواژهها | ||
| Delay integral equations؛ Volterra؛ Existence and uniqueness؛ Converges؛ Fixed point theorem | ||
| مراجع | ||
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