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A new approach for solving fuzzy linear Volterra integro-differential equations | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 13، شماره 6، اسفند 2016، صفحه 69-87 اصل مقاله (410.89 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2822 | ||
| نویسنده | ||
| Mojtaba Ghanbari* | ||
| Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran | ||
| چکیده | ||
| In this paper, a fuzzy numerical procedure for solving fuzzy linear Volterra integro-differential equations of the second kind under strong generalized differentiability is designed. Unlike the existing numerical methods, we do not replace the original fuzzy equation by a $2\times 2$ system of crisp equations, that is the main difference between our method and other numerical methods. Error analysis and numerical examples are given to show the convergency and efficiency of the proposed method, respectively. | ||
| کلیدواژهها | ||
| Fuzzy number؛ Fuzzy linear Volterra integro-differential equation؛ Generalized differentiability؛ Fuzzy trapezoidal rule | ||
| مراجع | ||
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