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Ahmadi, Elham, Ahmadi, Nazanin. (1401). A new method for solving n-order fuzzy differential equation by using polynomial interpolation. , 8(36), 91-104.
Elham Ahmadi; Nazanin Ahmadi. "A new method for solving n-order fuzzy differential equation by using polynomial interpolation". , 8, 36, 1401, 91-104.
Ahmadi, Elham, Ahmadi, Nazanin. (1401). 'A new method for solving n-order fuzzy differential equation by using polynomial interpolation', , 8(36), pp. 91-104.
Ahmadi, Elham, Ahmadi, Nazanin. A new method for solving n-order fuzzy differential equation by using polynomial interpolation. , 1401; 8(36): 91-104.

A new method for solving n-order fuzzy differential equation by using polynomial interpolation

Journal of New Researches in Mathematics
مقاله 7، دوره 8، شماره 36، آذر و دی 2022، صفحه 91-104  XML اصل مقاله (342.4 K)
نوع مقاله: research paper
نویسندگان
Elham Ahmadi email orcid 1؛ Nazanin Ahmadi2
1Department of Mathematics, Quds City Branch, Islamic Azad University, Tehran, Iran
2Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran
چکیده
A new method for solving n-order fuzzy differential equation by using polynomial interpolation
A new method for solving n-order fuzzy differential equation by using polynomial interpolation
Given the importance of the role of fuzzy differential equations in science and engineering,
in this paper, we study a numerical method for solving N th order fuzzy differential equations under generalized differentiability. In this method a solution of fuzzy differential equation is approximated by fuzzy polynomial in the form of piece wise fuzzy polynomials in each
sub interval of interval solution. In special case, for solving second order fuzzy differential equation under generalized differentiability, according to the type of differentiability, four cases are considered, then fuzzy polynomial approximation in each cases for solving fuzzy differential equation were constructed. The order of the piece wise fuzzy polynomial in each sub interval of solution is two .Finally this method is illustrated by solving two second order fuzzy differential
equations under generalized differentiability.
کلیدواژه‌ها
Fuzzy differntial equation؛ generalized differentiability؛ numerical method؛ polynomial interpolation
مراجع

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