Numerical solution of fuzzy di?erential equations under generalized di?erentiability by Improved Euler method

International Journal of Applied Mathematics and Computation

K. Kanagarajan¹  R. Suresh¹ 

[1] Sri Ramakrishna Mission Vidyalaya College of Arts and Science$$

关键词: Fuzzy di?erential equations;    Improved Euler method;    Gener- alized di?erentiability.;   

DOI  :  10.0000/ijamc.2014.6.1.642

来源: PSIT Kanpur

【 摘 要 】

In this paper, we interpret a fuzzy differential equation by using the strongly generalized differentiability concept. Utilizing the Generalized Characterization Theorem, we investigate the problem of finding a nu- merical approximation of solutions. The Improved Euler approximation method is implemented and its error analysis, which guarantees point- wise convergence, is given. The method applicability is illustrated by solving a linear first-order fuzzy differential equation.

【 授权许可】

Unknown