A new method for solving two-dimensional fuzzy Fredholm integral equations of the second kind

Mohsen Darabi, N. Parandin,Mahmoud Paripour,Ali Reza Seifi

Theory of Approximation and Applications(2020)

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摘要
In this work, we introduce a novel method for solving two-dimensional fuzzy Fredholm integral equations of the second kind (2D-FFIE-2). We use new representation of parametric form of fuzzy numbers and convert a two-dimensional fuzzy Fredholm integral equation to system of two-dimensional Fredholm integral equations of the second kind in crisp case. We can use Adomian decomposition method for nding the approximation solution of the each equation, hence obtain an approximation for fuzzy solution of 2D-FFIE-2. We prove the convergence of the method and nally apply the method to some examples
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关键词
integral equations,two-dimensional
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