Spectral Scheme for Solving Fuzzy Volterra Integral Equations of First Kind

Theory of Approximation and Applications

مقاله 8، دوره 12، شماره 2، اسفند 2018، صفحه 115-129   

نوع مقاله: Research Articles

نویسنده

Laleh Hooshangian^*

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

چکیده

This paper discusses about the solution of fuzzy Volterra integral equation of first-kind (F-VIE1) using spectral method. The parametric form of fuzzy driving term is applied for F-VIE1, then three classifications for (F-VIE1) are searched to solve them. These classifications are considered based on the interval sign of the kernel. The Gauss-Legendre points and Legendre weights for arithmetics in spectral method are used to solve (F-VIE1). Finally, two examples are got to illustrate more. However, accuracy and efficiency are shown in tables.


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کلیدواژه‌ها

Spectral method؛ Fuzzy Volterra integral equation of First-kind (F-VIE1)؛ Fuzzy integral equation؛ Gauss-Legendre points