A NEW MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING LINEAR SECOND-ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

M. Sotoodeh; M. A Fariborzi Araghi

A NEW MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING LINEAR SECOND-ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

Publish place: International Journal of Mathematical Modelling and Computations، Vol: 2، Issue: 4

Publish Year: 1391

نوع سند: مقاله ژورنالی

زبان: English

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https://civilica.com/doc/1590162

شناسه ملی سند علمی:

JR_IJMAC-2-4_005

تاریخ نمایه سازی: 28 دی 1401

Abstract:

In this paper, we tried to accelerate the rate of convergence in solving second-order Fredholm type Integro-differential equations using a new method which is based on Improved homotopy perturbation method (IHPM) and applying accelerating parameters. This method is very simple and the result is obtained very fast.

Keywords:

Improved homotopy perturbation method , Laplace transform , Fredholm integro-differential equation

Authors

M. Sotoodeh

Department of Applied Mathematics, Science and Research Branch, Islamic Azad University Iran, Islamic Republic of

M. A Fariborzi Araghi

Department of Applied Mathematics, Central Tehran Branch, Islamic Azad University Iran, Islamic Republic of