Behzadi, Sh. S.; Allahviranloo, T.; Abbasbandy, S. The use of fuzzy expansion method for solving fuzzy linear Volterra-Fredholm integral equations. (English) Zbl 1305.65241 J. Intell. Fuzzy Syst. 26, No. 4, 1817-1822 (2014). 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. Cited in 10 Documents MSC: 65R20 Numerical methods for integral equations 45B05 Fredholm integral equations 45D05 Volterra integral equations Keywords:fuzzy number; Volterra-Fredholm integral equations; fuzzy Galerkin method; fuzzy collocation method PDFBibTeX XMLCite \textit{Sh. S. Behzadi} et al., J. Intell. Fuzzy Syst. 26, No. 4, 1817--1822 (2014; Zbl 1305.65241) Full Text: DOI