Zienab Gouyandeh

Dep. Math, Najaf Abad, IAU

[ 1 ] - The Tau-Collocation Method for Solving Nonlinear Integro-Differential Equations and Application of a Population Model

This paper presents a computational technique that called Tau-collocation method for the developed solution of non-linear integro-differential equations which involves a population model. To do this, the nonlinear integro-differential equations are transformed into a system of linear algebraic equations in matrix form without interpolation of non-poly-nomial terms of equations. Then, using coll...

[ 2 ] - The fuzzy generalized Taylor’s expansion with application in fractional differential equations

In this paper, the generalized Taylor’s expansion is presented for fuzzy-valued functions. To achieve this aim, fuzzyfractional mean value theorem for integral, and some properties of Caputo generalized Hukuhara derivative are necessarythat we prove them in details. In application, the fractional Euler’s method is derived for solving fuzzy fractionaldifferential equations in the sense of Caputo...

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