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A novel method for solving fuzzy parabolic PDE by using the SG-Hukuhara differentiability | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 4 - شماره پیاپی 29، اسفند 2024، صفحه 67-82 اصل مقاله (587.67 K) | ||
| نوع مقاله: Special Issue Dedicated to Prof. Esfandiar Eslami | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.22610.1545 | ||
| نویسندگان | ||
| Pegah Moatamed1؛ Mahnaz Barkhordari Ahmadi* 2 | ||
| 1Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran | ||
| 2Department of Mathematics, Bandar Abbas Branch, Islamic Azad University, Bandar Abbas, Iran | ||
| چکیده | ||
| In this paper, the method of Crank-Nicolson is proposed for approximating the solution of a fuzzy parabolic PDE by applying the subject of SG-Hukuhara differentiability where the initial and boundary conditions are fuzzy numbers. The consistency and stability of this method are investigated and finally, a non-trivial example is given by this method. | ||
| کلیدواژه‌ها | ||
| Generalized Hukuhara derivative؛ Fuzzy parabolic PDE؛ Crank-Nicolson solution | ||
| مراجع | ||
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