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Kamal transform technique for solving system of linear Volterra integro-differential equations of the second kind | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 16، دوره 14، شماره 1، فروردین 2023، صفحه 185-192 اصل مقاله (355.77 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.25605.3065 | ||
| نویسندگان | ||
| Zainab Rustam* ؛ Nejmaddin Sulaiman | ||
| Department of Mathematics, College of Education, Salahaddin University-Erbil, Kurdistan Region, Iraq | ||
| تاریخ دریافت: 24 مهر 1400، تاریخ بازنگری: 29 آبان 1400، تاریخ پذیرش: 01 دی 1400 | ||
| چکیده | ||
| Many advanced problems in science and engineering can represent mathematically in the form of linear Volterra integro-differential equations or their system. In this paper, we present the solution of the linear system of Volterra integro-differential equations of the second kind by Kamal transform. Some numerical problems have been given and solved by Kamal transform for illustrating the applicability of the Kamal transform. Results of numerical problems assert that the Kamal transform is very effective for obtaining the exact solution of the linear system of Volterra integro-differential equations of the second kind. | ||
| کلیدواژه‌ها | ||
| Volterra Integro-Differential Equation؛ Kamal Transform؛ Convolution؛ Inverse Kamal Transform | ||
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