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Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method. (English) Zbl 1062.65143
Summary: Using a parametric form of fuzzy numbers we convert a linear fuzzy Fredholm integral equation of the second kind to a linear system of integral equations of the second kind in the crisp case. We use the Adomian method and find an approximate solution of this system and hence obtain an approximation for the fuzzy solution of the linear fuzzy Fredholm integral equation of the second kind. We apply the method to some examples.
MSC:
65R20Integral equations (numerical methods)
45B05Fredholm integral equations
45F05Systems of nonsingular linear integral equations
26E50Fuzzy real analysis