Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations

S. M.Sadatrasoul; R.Ezzati

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Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations

机译：二维模糊积分方程数值解的正交规则和迭代方法

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We introduce some generalized quadrature rules to approximate two-dimensional, Henstock integral of fuzzy-number-valued functions. We also give error bounds for mappings of bounded variation in terms of uniform modulus of continuity. Moreover, we propose an iterative procedure based on quadrature formula to solve two-dimensional linear fuzzy Fredholm integral equations of the second kind (2DFFLIE2), and we present the error estimation of the proposed method. Finally, some numerical experiments confirm the theoretical results and illustrate the accuracy of the method.

机译：我们引入一些通用的正交规则，以近似模糊数值函数的二维Henstock积分。我们还根据均匀连续模数给出了有界变化映射的误差范围。此外，我们提出了一种基于正交公式的迭代程序来求解第二类二维线性模糊Fredholm积分方程（2DFFLIE2），并给出了该方法的误差估计。最后，一些数值实验证实了理论结果并说明了该方法的准确性。

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《Abstract and applied analysis》 |2014年第2期|共18页
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S. M.Sadatrasoul; R.Ezzati;
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Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations

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