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- W3016965191 abstract "We are focused on fuzzy Fredholm integral equations of the second kind. To solve these equations with respect to fuzzy valued functions, we apply the ordinary approximation technique. We propose to use Chebyshev polynomials due to their smoothness and reasonable behavior near boundaries. This trick is our principal innovation, because we combine a classical technique with a fuzzy problem. This approach allows to use the Clenshaw-Curtis representation and transform a fuzzy Fredholm integral equation to the system of algebraic equations. A solution to this algebraic system gives an approximate (functional) solution to the original problem. We discuss the existence and uniqueness of a solution. The proposed method is illustrated by numerical examples, which confirms the theoretical convergence estimate." @default.
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- W3016965191 date "2021-02-01" @default.
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- W3016965191 title "Classical approximation for fuzzy Fredholm integral equation" @default.
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- W3016965191 doi "https://doi.org/10.1016/j.fss.2020.03.023" @default.
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