Title of article :
Iterative Approach for a Class of Fuzzy Volterra Integral Equations Using Block Pulse Functions
Author/Authors :
Akhavan Zakeri, Kamran Islamic Azad University Central Tehran Branch, Tehran , Fariborzi Araghi, Mohammad Ali Islamic Azad University Central Tehran Branch, Tehran , Ziari, Shokrollah Islamic Azad University Firoozkooh Branch, Firoozkooh
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
Journal title :
Journal of Mathematical Extension(IJME)