用块脉冲函数求解一类模糊Volterra积分方程的迭代方法

IF 0.4 Q4 MATHEMATICS
Kamran Akhavan Zakeri, M. A. Araghi, S. Ziari
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引用次数: 0

摘要

模糊积分方程是研究不确定控制系统和经济性的数学工具。在本文中,我们提出了使用逐次逼近格式和块脉冲函数的非线性模糊Volterra积分方程(NFVIE)的数值解。此外,还研究了所提出方法的收敛性分析,包括Lipschitz和几个条件,并给出了近似解和精确解之间的误差界。最后,为了验证与理论有关的结果,考虑了一个数值实验。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Iterative approach for a class of fuzzy Volterra integral equations using block pulse functions
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.
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审稿时长
24 weeks
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