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This is an Accepted Manuscript of article published by Taylor & Francis Group in Virtual and Physical Prototyping on 2021, available online at: http://www.tandfonline.com/10.1080/17452759.2021.1942077

in this paper, we will compare a homotopy perturbation algorithm and taylor series expansin method for a system of second kind fredholm integral equations. an application of he’s homotopy perturbation method is applied to solve the system of fredholm integral equations. taylor series expansin method reduce the system of integral equations to a linear system of ordinary differential equation.

First year students learn that the Taylor expansion Z carries functions into power series, and that it has some nice algebraic properties (e.g., Z (fg) = Z (f)Z (g)). It is less well known that the same game can be played within arbitrary groups: there is a natural way to say “a Taylor expansion Z for elements of an arbitrary group G”, and a natural way to carry the algebraic properties of the ...

In this paper, we will compare a Homotopy perturbation algorithm and Taylor series expansin method for a system of second kind Fredholm integral equations. An application of He’s homotopy perturbation method is applied to solve the system of Fredholm integral equations. Taylor series expansin method reduce the system of integral equations to a linear system of ordinary differential equation.