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Numerical method for solving linear Fredholm fuzzy integral equations of the second kind. (English) Zbl 1137.65442

Summary: We use a parametric form of fuzzy numbers and convert a linear fuzzy Fredholm integral equation to two systems of linear integral equation of the second kind in crisp case. We use one of the numerical methods such as Nyström and find the approximation solution of the system and hence obtain an approximation for the fuzzy solution of linear fuzzy Fredholm integral equations of the second kind. The proposed method is illustrated by solving some numerical examples.

MSC:

65R20 Numerical methods for integral equations
26E50 Fuzzy real analysis
45N05 Abstract integral equations, integral equations in abstract spaces

Software:

FUSIM
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References:

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