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Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 24 خرداد 1402 اصل مقاله (811.68 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2023.52806.2227 | ||
| نویسندگان | ||
Simin Aghaei Amirkhizi1؛ Yaghoub Mahmoudi  2؛ Ali Salimi shamloo3
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| 1Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran | ||
| 2Department of Mathematics, Tabriz Branch Islamic Azad University, Tabriz, Iran | ||
| 3Department of Mathematics, Shabestar Branch, Islamic Azad University, Shabestar, Iran | ||
| چکیده | ||
| In this paper, for solving linear and nonlinear Volterra integral equations of the first kind with discontinuous kernels, Adomian decomposition method and modified Adomian decomposition method are presented. We convert the main equation into the Volterra integral equation of the second kind. The numerical examples are given to denote the accuracy of the suggested method. | ||
| کلیدواژه‌ها | ||
| Volterra integral equation؛ Piecewise continuous kernel؛ Modified Adomian decomposition method | ||
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آمار تعداد مشاهده مقاله: 55 تعداد دریافت فایل اصل مقاله: 47 |
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