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

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

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. W...

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Veröffentlicht in:TWMS journal of applied and engineering mathematics 2020-01, Vol.10 (4), p.886
Hauptverfasser: Bayrak, M.A, Can, E
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Boundary conditions
Differential equations
Finite difference method
Mathematical analysis
Methods
Parabolic differential equations
Partial differential equations
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Zusammenfassung: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.
ISSN:2146-1147
2146-1147