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Solving two-dimensional fuzzy Fredholm integral equations via sinc collocation method
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2020-06-15 , DOI: 10.1186/s13662-020-02722-w
Yanying Ma , Hu Li , Suping Zhang

In this paper, we present a numerical method to solve two-dimensional fuzzy Fredholm integral equations (2D-FFIE) by combing the sinc method with double exponential (DE) transformation. Using this method, the fuzzy Fredholm integral equations are converted into dual fuzzy linear systems. Convergence analysis is performed in terms of the modulus of continuity. Numerical experiments demonstrate the efficiency of the proposed method.



中文翻译:

用Sinc配置法求解二维模糊Fredholm积分方程

在本文中,我们提出了一种通过将Sinc方法与双指数(DE)变换相结合来求解二维模糊Fredholm积分方程(2D-FFIE)的数值方法。使用这种方法,将模糊Fredholm积分方程转换为对偶线性线性系统。根据连续性模量进行收敛性分析。数值实验证明了该方法的有效性。

更新日期:2020-06-15
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