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The use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm integral equations. (English) Zbl 1305.65241

Summary: In this paper, the fuzzy Fast Galerkin method (FFGM) and the fuzzy collocation method (FCM) have been used to solve the fuzzy linear Volterra-Fredholm integral equation of the second kind (FVFIE - 2). We convert a fuzzy linear Volterra-Fredholm integral equation to a system of fuzzy equations by using FFGM and FCM. The existence and uniqueness of the solution and convergence of the proposed method are proved in detail. Finally some examples show the accuracy of these methods.

MSC:

65R20 Numerical methods for integral equations
45B05 Fredholm integral equations
45D05 Volterra integral equations
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