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On the Solution of Volterra-Fredholm Integro-Differential Equation by Using New Iterative Method | ||
| International Journal of Industrial Mathematics | ||
| دوره 15، شماره 1، فروردین 2023، صفحه 21-26 اصل مقاله (882.38 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.30495/ijim.2022.63781.1553 | ||
| نویسنده | ||
A. Jafarian 
| ||
| Young Researchers and Elite Club, Urmia Branch, Islamic Azad University, Urmia, Iran. | ||
| چکیده | ||
| Integro-differential equations arise in various physical and biological problems. In this paper, a new iterative technique for solving linear Volterra-Fredholm integro-differential equation (VFIDE) has been introduced. The method is discussed in details and it is illustrated by solving some numerical examples. The approximate solution is most easily produced iteratively via the recurrence relation. Results are compared with the exact solutions, which reveal that new iteration method is very effective and convenient. | ||
| کلیدواژهها | ||
| New iterative method؛ Volterra-Fredholm integro-differential equation؛ Approximate solution؛ non linear integral equation؛ linear ]ntegral equation | ||
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آمار تعداد مشاهده مقاله: 33 تعداد دریافت فایل اصل مقاله: 68 |
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