This paper deals with the solution of system of 2D-fuzzy Fredholm integral equations (2D-FFIEs) depend upon the parametric form fuzzy number; using an efficient algorithm called Optimal Homotopy Asymptotic Method (OHAM). The efficiency and effectiveness of the proposed technique is tested upon some numerical example and the results are compared with modified homotopy perturbation method, 2D triangular function method and Lagender interpolation. It is observed from the results that the suggested method is accurate, straightforward and convenient to solve the 2D-fuzzy Fredholm integral equations.

中文翻译：

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最优同伦渐近方法的二维模糊Fredholm积分方程的数值解

本文研究了基于参数形式模糊数的二维模糊Fredholm积分方程组（2D-FFIE）的解。使用称为最优同伦渐近方法（OHAM）的有效算法。通过数值算例验证了所提技术的有效性和有效性，并与改进的同伦摄动法，二维三角函数法和Lagender插值法进行了比较。从结果可以看出，所提出的方法对于求解二维模糊Fredholm积分方程是准确，直接和方便的。