Block-Pulse Functions in the Method of Successive Approximations for Nonlinear Fuzzy Fredholm Integral Equations

被引：0
|
作者：
Shokrollah Ziari
Irina Perfilieva
Saeid Abbasbandy
机构：
[1] Islamic Azad University,Department of Mathematics, Firoozkooh Branch
[2] University of Ostrava,Institute for Research and Applications of Fuzzy Modeling
[3] Imam Khomeini International University,Department of Mathematics
来源：
Differential Equations and Dynamical Systems | 2022年 / 30卷
关键词：
Nonlinear fuzzy Fredholm integral equations; Fuzzy block-pulse functions; Supplementary Lipschitz condition; Numerical stability analysis;
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摘要：
In this paper, we propose a method of successive approximations for nonlinear fuzzy Fredholm integral equations of the second kind. The main approximation tool is based on fuzzy block-pulse functions. The error estimation of the proposed method is established. A number of illustrative examples that demonstrate accuracy and convergence is given as well.
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页码：995 / 1009
页数：14
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