Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389162 | Fuzzy Sets and Systems | 2016 | 15 Pages |
Abstract
In this study, based on a new generalized differentiability and parametric representation for fuzzy valued functions, we discuss the existence of solutions for fuzzy partial differential equations (FPDEs) and their ill-posedness. A regularization method is required to recover the numerical stability. A stable approximation of the exact solution is obtained as an example of a Cauchy problem for the fuzzy Laplace equation.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Zengtai Gong, Hong Yang,