Convergence, Consistency and Stability in Fuzzy Differential Equations
عنوان مقاله: Convergence, Consistency and Stability in Fuzzy Differential Equations
شناسه ملی مقاله: JR_IJFS-12-3_007
منتشر شده در در سال 1394
شناسه ملی مقاله: JR_IJFS-12-3_007
منتشر شده در در سال 1394
مشخصات نویسندگان مقاله:
R. Ezzati - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
K. Maleknejad - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
S. Khezerloo - Department of Mathematics, Islamic Azad University - South Tehran Branch, Tehran, Iran
M. Khezerloo - Department of Mathematics, Institute for Advanced Studies in Basic Sciences(IASBS), P.O. BOX ۴۵۱۹۵-۱۱۵۹, Zanjan, Iran
خلاصه مقاله:
R. Ezzati - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
K. Maleknejad - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
S. Khezerloo - Department of Mathematics, Islamic Azad University - South Tehran Branch, Tehran, Iran
M. Khezerloo - Department of Mathematics, Institute for Advanced Studies in Basic Sciences(IASBS), P.O. BOX ۴۵۱۹۵-۱۱۵۹, Zanjan, Iran
In this paper, we consider First-order fuzzy differential equations with initial value conditions. The convergence, consistency and stability of difference method for approximating the solution of fuzzy differential equations involving generalized H-differentiability, are studied. Then the local truncation error is defined and sufficient conditions for convergence, consistency and stability of difference method are provided and fuzzy stiff differential equation and one example are presented to illustrate the accuracy and capability of our proposed concepts.
کلمات کلیدی: Consistence, stability, Local truncation error, Generalized differentiability, Fuzzy stiff differential equation
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1467804/