Homotopy perturbation technique to solve nonlinear systems of Volterra integral equations of 1st kind

Year 2021, Volume: 2 Issue: 1, 19 - 26, 15.06.2021

Ahmed Ameer Borhan Juma'a Waleed Al-hayani

Abstract

Integral equations are topics of major interest and can found in a wide range of engineering and industrial applications. The analytical solutions of the integral equations is restricted to few range of applications, but in a general most authors tend to approximate or numerical methods due to the advances in the numerical methods and techniques. In the present paper, the He ‘perturbation method will be modified to solve Volterra integral equations(VIE). In the present paper, He’s homotopy perturbation(HPM) with a proposed technique was developed to" solve system of" Volterra integral equations of 1st type". Three different test problems were solved using the proposed technique and their results gave the impression that it is efficient for dealing with the Volterra integral equations.

Keywords

Integral equations, approximate techniques, homotopy perturbation method

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