NUMERICAL SOLUTION OF FUZZY PARABOLIC DIFFERENTIAL EQUATIONS BY A FINITE DIFFERENCE METHODS

Bayrak M. A., Can E.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.10, sa.4, ss.886-896, 2020 (ESCI) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 4
  • Basım Tarihi: 2020
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.886-896
  • Kocaeli Üniversitesi Adresli: Evet

Özet

AB In this study, we consider the concept of under generalized differentiability for the fuzzy parabolic differential equations. When the fuzzy derivative is considered as generalization of the H-derivative, for our case, the fuzziness is in the coefficents as well as initial and boundary conditions. We analysed and applied to numerically solve a fuzzy parabolic equation by finite difference method. The applicability of presented algorithm is illustrated by solving an examples of fuzzy partial differential equations.