积型模糊 Volterra 积分方程的数值解法

International Journal of Research in Advent Technology Pub Date : 2023-12-10 DOI:10.32622/ijrat.112202301

Qin Chen

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引用次数: 0

摘要

本文提出了一种近似求积型模糊 Volterra 积分方程解的迭代算法。首先，利用巴拿赫定点定理证明了原积分方程解的唯一性。接着，实现了对所提出迭代法的误差估计。最后，给出两个数值示例来说明该方法的有效性

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Numerical Solution of Product Type Fuzzy Volterra Integral Equation

An iterative algorithm is presented for approximating the solution of the product type fuzzy Volterra integral equation. Firstly, the uniqueness of the solution of the original integral equation is proved by using Banach fixed point theorem. Next, the error estimation of the proposed iterative method is achieved. Finally, two numerical examples are given to illustrate the effectiveness of the method

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International Journal of Research in Advent Technology

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