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
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;
Conference_Titel :
Humanities, Science and Engineering Research (SHUSER), 2012 IEEE Symposium on
Conference_Location :
Kuala Lumpur
Print_ISBN :
978-1-4673-1311-7
DOI :
10.1109/SHUSER.2012.6268842
