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Ill-posed fuzzy initial-boundary value problems based ongeneralized differentiability and regularization
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DOI：10.1016/j.fss.2015.04.016.png)
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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. (C) 2015 Elsevier B.V. All rights reserved.
Keyword:
Fuzzy partial
Fuzzy partial differential equation
Generalized differentiability
Ill-posedness
Regularization method
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