DocumentCode
2972489
Title
Extended midpoint method for solving fuzzy differential equations
Author
Afsharinafar, Reza ; Ismail, Fudziah ; Hosseini, Ali Ahmadian
Author_Institution
Inst. for Math. Res., Univ. Putra Malaysia, Serdang, Malaysia
fYear
2012
fDate
24-27 June 2012
Firstpage
1579
Lastpage
1584
Abstract
We study fuzzy differential equations (FDEs) using the strongly generalized differentiability concept. Utilizing the characterization problem, we present approximate solutions of FDEs under Generalized differentiability by an equivalent system of ODEs. Then we extend midpoint approximation method and give its error, which guarantees pointwise convergence. An illustrative example is given.
Keywords
approximation theory; differential equations; fuzzy set theory; FDE; ODE; approximate solutions; characterization problem; extended midpoint method; fuzzy differential equations; generalized differentiability; midpoint approximation method; Approximation methods; Differential equations; Equations; Error analysis; Level set; Mathematical model; Measurement; fuzzy differential equations; generalized characterization theorem; generalized differentiability; midpoint method;
fLanguage
English
Publisher
ieee
Conference_Titel
Humanities, Science and Engineering Research (SHUSER), 2012 IEEE Symposium on
Conference_Location
Kuala Lumpur
Print_ISBN
978-1-4673-1311-7
Type
conf
DOI
10.1109/SHUSER.2012.6268842
Filename
6268842
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