Numerical Solution of Fuzzy Stochastic Differential Equation

February 03, 2015 ยท Declared Dead ยท ๐Ÿ› Journal of Intelligent & Fuzzy Systems

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Authors Sukanta Nayak, Snehashish Chakraverty arXiv ID 1502.01321 Category math.NA: Numerical Analysis Cross-listed cs.AI, math-ph Citations 8 Venue Journal of Intelligent & Fuzzy Systems Last Checked 1 month ago
Abstract
In this paper an alternative approach to solve uncertain Stochastic Differential Equation (SDE) is proposed. This uncertainty occurs due to the involved parameters in system and these are considered as Triangular Fuzzy Numbers (TFN). Here the proposed fuzzy arithmetic in [2] is used as a tool to handle Fuzzy Stochastic Differential Equation (FSDE). In particular, a system of Ito stochastic differential equations is analysed with fuzzy parameters. Further exact and Euler Maruyama approximation methods with fuzzy values are demonstrated and solved some standard SDE.
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