Iterative approach for a class of fuzzy Volterra integral equations using block pulse functions

Kamran Akhavan Zakeri, Mohammad Ali Fariborzi Araghi, Shokrollah Ziari

Abstract


 

 

Fuzzy Integral equations is a mathematical tool for mod-
eling the uncertain control system and economic. In this paper, we
present numerical solution of nonlinear fuzzy Volterra integral equa-
tions(NFVIEs) using successive approximations scheme and block-pulse
functions. Additionally, the convergence analysis of the presented ap-
proach is investigated involving Lipschitz and several conditions and
error bound between the approximate and the exact solution is pro-
vided. Finally, to approve the outcomes concerned with the theory a
numerical experiment is considered.


Keywords


Fuzzy Volterra integral equations, Successive approximations scheme, L-Lipschitz fuzzy-valued function

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