Spectral Method for Solving Fuzzy Volterra Integral Equations of Second kind

This paper, about the solution of fuzzy Volterra integral equation of fuzzy Volterra integralequation of second kind (F-VIE۲) using spectral method is discussed. The parametric form offuzzy driving term is applied for F-VIE۲. Then three cases for (F-VIE۲) are searched to solvethem. These classifications are considered based on the sign of interval. The Gauss-Legendrepoints and Legendre weights for arithmetics in spectral method are used to solve (F-VIE۲).Finally, two examples are got to illustrate more.

Keywords:

Variational Homotopy perturbation method , Fuzzy Volterra integral equation , Nonlinear fuzzy kernels

Authors

Laleh Hooshangian

Department of Mathematics, Dezful Branch, Islamic Azad University, Dezful, Iran

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https://civilica.com/doc/1634408

شناسه ملی سند علمی:

JR_MSJI-14-1_008

تاریخ نمایه سازی: 28 فروردین 1402

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Hooshangian, Laleh,1399,Spectral Method for Solving Fuzzy Volterra Integral Equations of Second kind,https://civilica.com/doc/1634408

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Ranking of Islamic Azad University of Dezful

Type of center: Azad University

Paper count: 5,581

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