Volume & Issue no: Volume 6, Issue 4, July - August 2017
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Title: |
Numerical technique to solve dynamical system involving fuzzy parameters |
Author Name: |
Purnima Pandit, Payal Singh |
Abstract: |
Abstract
This paper investigates system of differential equations with
fuzzy parameters and fuzzy initial condition i.e. given by
???? ?
????(????) = ???? ???? ????????,???? ????
????, ???? ????
(????????) =???? ????
???? for numerical solution. Here
???? ???? ????????,???? ????
???? can be nonlinear or it can be linear of the form
???? ????
????? ???? +???? ????
, where ???? ????
????×???? and ???? ????
????×???? be some matrices with all
entries as fuzzy number. In this paper, we propose the
numerical technique which is based on approximation of
Hukuhara difference, for both kind of dynamical systems
(linear and nonlinear). In dynamical system, uncertainty of
possibilistic type can be realized efficiently using fuzzy
parameters and such systems are mathematical models for
various application in varied domains. For such systems, we get
the scheme for existence of solution and its convergence. Lastly,
illustrative examples are solved by using proposed scheme and
compared with crisp solution.
Keywords: Fuzzy parameters, Fuzzy number,Hukuhara
differentiability, Linear and nonlinear fuzzy dynamical
system. |
Cite this article: |
Purnima Pandit, Payal Singh , "
Numerical technique to solve dynamical system involving fuzzy parameters" , International Journal of Emerging Trends & Technology in Computer Science (IJETTCS) ,
Volume 6, Issue 4, July - August 2017 , pp.
051-057 , ISSN 2278-6856.
|
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