A HOMOTOPY PERTURBATION ALGORITHM AND TAYLOR SERIES EXPANSION METHOD TO SOLVE A SYSTEM OF SECOND KIND FREDHOLM INTEGRAL EQUATIONS

S. M. Mirzaei

A HOMOTOPY PERTURBATION ALGORITHM AND TAYLOR SERIES EXPANSION METHOD TO SOLVE A SYSTEM OF SECOND KIND FREDHOLM INTEGRAL EQUATIONS

Publish place: International Journal of Mathematical Modelling and Computations، Vol: 1، Issue: 2

Publish Year: 1390

نوع سند: مقاله ژورنالی

زبان: English

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https://civilica.com/doc/1607564

شناسه ملی سند علمی:

JR_IJMAC-1-2_005

تاریخ نمایه سازی: 2 اسفند 1401

Abstract:

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.

Keywords:

HPM , Taylor series , Integral Equation

Authors

S. M. Mirzaei

Faculty of science, Minoodasht Branch, Islamic Azad University, Iran Iran, Islamic Republic of Department of Mathematics